Quasi-Hopf algebras :: a categorical approach /
This self-contained book dedicated to Drinfeld's quasi-Hopf algebras takes the reader from the basics to the state of the art.
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York, NY :
Cambridge University Press,
[2019]
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications ;
171. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This self-contained book dedicated to Drinfeld's quasi-Hopf algebras takes the reader from the basics to the state of the art. |
| Beschreibung: | 1 online resource |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781108632652 1108632653 9781108582780 1108582788 |
Internformat
MARC
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| 100 | 1 | |a Bulacu, Daniel, |d 1973- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjCbdMKPxPyRKt9CYfmgXd |0 http://id.loc.gov/authorities/names/n2018044727 | |
| 245 | 1 | 0 | |a Quasi-Hopf algebras : |b a categorical approach / |c Daniel Bulacu (Universitatea din Bucureti, Romania), Stefaan Caenepeel (Vrije Universiteit, Amsterdam), Florin Panaite (Institute of Mathematics of the Romanian Academy), Freddy van Oystaeyen (Universiteit Antwerpen, Belgium). |
| 264 | 1 | |a Cambridge ; |a New York, NY : |b Cambridge University Press, |c [2019] | |
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| 490 | 1 | |a Encyclopedia of mathematics and its applications ; |v 171 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Half-title; Series information; Title page; Copyright information; Dedication; Contents; Preface; 1 Monoidal and Braided Categories; 1.1 Monoidal Categories; 1.2 Examples of Monoidal Categories; 1.2.1 The Category of Sets; 1.2.2 The Category of Vector Spaces; 1.2.3 The Category of Bimodules; 1.2.4 The Category of G-graded Vector Spaces; 1.2.5 The Category of Endo-functors; 1.2.6 A Strict Category Associated to a Monoidal Category; 1.3 Monoidal Functors; 1.4 Mac Lane's Strictification Theorem for Monoidal Categories; 1.5 (Pre- )Braided Monoidal Categories; 1.6 Rigid Monoidal Categories | |
| 505 | 8 | |a 1.7 The Left and Right Dual Functors1.8 Braided Rigid Monoidal Categories; 1.9 Notes; 2 Algebras and Coalgebras in Monoidal Categories; 2.1 Algebras in Monoidal Categories; 2.2 Coalgebras in Monoidal Categories; 2.3 The Dual Coalgebra/Algebra of an Algebra/Coalgebra; 2.4 Categories of Representations; 2.5 Categories of Corepresentations; 2.6 Braided Bialgebras; 2.7 Braided Hopf Algebras; 2.8 Notes; 3 Quasi-bialgebras and Quasi-Hopf Algebras; 3.1 Quasi-bialgebras; 3.2 Quasi-Hopf Algebras; 3.3 Examples of Quasi-bialgebras and Quasi-Hopf Algebras | |
| 505 | 8 | |a 3.4 The Rigid Monoidal Structure of HMfd and MHfd3.5 The Reconstruction Theorem for Quasi-Hopf Algebras; 3.6 Sovereign Quasi-Hopf Algebras; 3.7 Dual Quasi-Hopf Algebras; 3.8 Further Examples of (Dual) Quasi-Hopf Algebras; 3.9 Notes; 4 Module (Co)Algebras and (Bi)Comodule Algebras; 4.1 Module Algebras over Quasi-bialgebras; 4.2 Module Coalgebras over Quasi-bialgebras; 4.3 Comodule Algebras over Quasi-bialgebras; 4.4 Bicomodule Algebras and Two-sided Coactions; 4.5 Notes; 5 Crossed Products; 5.1 Smash Products; 5.2 Quasi-smash Products and Generalized Smash Products | |
| 505 | 8 | |a 5.3 Endomorphism H-module Algebras5.4 Two-sided Smash and Crossed Products; 5.5 H*-Hopf Bimodules; 5.6 Diagonal Crossed Products; 5.7 L-R-smash Products; 5.8 A Duality Theorem for Quasi-Hopf Algebras; 5.9 Notes; 6 Quasi-Hopf Bimodule Categories; 6.1 Quasi-Hopf Bimodules; 6.2 The Dual of a Quasi-Hopf Bimodule; 6.3 Structure Theorems for Quasi-Hopf Bimodules; 6.4 The Categories [sub(H)]M[sub(H)sup(H)] and [sub(H)]M; 6.5 A Structure Theorem for Comodule Algebras; 6.6 Coalgebras in [sub(H)]M[sub(H)sup(H)]; 6.7 Notes; 7 Finite-Dimensional Quasi-Hopf Algebras; 7.1 Frobenius Algebras | |
| 520 | |a This self-contained book dedicated to Drinfeld's quasi-Hopf algebras takes the reader from the basics to the state of the art. | ||
| 650 | 0 | |a Hopf algebras. |0 http://id.loc.gov/authorities/subjects/sh85061931 | |
| 650 | 0 | |a Tensor products. |0 http://id.loc.gov/authorities/subjects/sh85133938 | |
| 650 | 0 | |a Tensor algebra. |0 http://id.loc.gov/authorities/subjects/sh85133937 | |
| 650 | 6 | |a Algèbres de Hopf. | |
| 650 | 6 | |a Produits tensoriels. | |
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| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
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| 650 | 7 | |a Hopf algebras |2 fast | |
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| 700 | 1 | |a Caenepeel, Stefaan, |d 1956- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjFctBTJH7TJDR67pKmRPP |0 http://id.loc.gov/authorities/names/n88137515 | |
| 700 | 1 | |a Panaite, Florin, |d 1970- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjJ7WBGCYyqjQ8hyWH68BX |0 http://id.loc.gov/authorities/names/n2018044729 | |
| 700 | 1 | |a Oystaeyen, F. Van, |d 1947- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJc3MYgMFQcQgDchTFcMfq |0 http://id.loc.gov/authorities/names/n79007748 | |
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| 776 | 0 | 8 | |i Print version: |a Bulacu, Daniel, 1973- |t Quasi-Hopf algebras. |d Cambridge ; New York, NY : Cambridge University Press, [2019] |z 9781108427012 |w (DLC) 2018034517 |w (OCoLC)1045209078 |
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Datensatz im Suchindex
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| _version_ | 1816882488507629568 |
| adam_text | |
| any_adam_object | |
| author | Bulacu, Daniel, 1973- Caenepeel, Stefaan, 1956- Panaite, Florin, 1970- Oystaeyen, F. Van, 1947- |
| author_GND | http://id.loc.gov/authorities/names/n2018044727 http://id.loc.gov/authorities/names/n88137515 http://id.loc.gov/authorities/names/n2018044729 http://id.loc.gov/authorities/names/n79007748 |
| author_facet | Bulacu, Daniel, 1973- Caenepeel, Stefaan, 1956- Panaite, Florin, 1970- Oystaeyen, F. Van, 1947- |
| author_role | aut aut aut aut |
| author_sort | Bulacu, Daniel, 1973- |
| author_variant | d b db s c sc f p fp f v o fv fvo |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA613 |
| callnumber-raw | QA613.8 .B85 2019eb |
| callnumber-search | QA613.8 .B85 2019eb |
| callnumber-sort | QA 3613.8 B85 42019EB |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | Cover; Half-title; Series information; Title page; Copyright information; Dedication; Contents; Preface; 1 Monoidal and Braided Categories; 1.1 Monoidal Categories; 1.2 Examples of Monoidal Categories; 1.2.1 The Category of Sets; 1.2.2 The Category of Vector Spaces; 1.2.3 The Category of Bimodules; 1.2.4 The Category of G-graded Vector Spaces; 1.2.5 The Category of Endo-functors; 1.2.6 A Strict Category Associated to a Monoidal Category; 1.3 Monoidal Functors; 1.4 Mac Lane's Strictification Theorem for Monoidal Categories; 1.5 (Pre- )Braided Monoidal Categories; 1.6 Rigid Monoidal Categories 1.7 The Left and Right Dual Functors1.8 Braided Rigid Monoidal Categories; 1.9 Notes; 2 Algebras and Coalgebras in Monoidal Categories; 2.1 Algebras in Monoidal Categories; 2.2 Coalgebras in Monoidal Categories; 2.3 The Dual Coalgebra/Algebra of an Algebra/Coalgebra; 2.4 Categories of Representations; 2.5 Categories of Corepresentations; 2.6 Braided Bialgebras; 2.7 Braided Hopf Algebras; 2.8 Notes; 3 Quasi-bialgebras and Quasi-Hopf Algebras; 3.1 Quasi-bialgebras; 3.2 Quasi-Hopf Algebras; 3.3 Examples of Quasi-bialgebras and Quasi-Hopf Algebras 3.4 The Rigid Monoidal Structure of HMfd and MHfd3.5 The Reconstruction Theorem for Quasi-Hopf Algebras; 3.6 Sovereign Quasi-Hopf Algebras; 3.7 Dual Quasi-Hopf Algebras; 3.8 Further Examples of (Dual) Quasi-Hopf Algebras; 3.9 Notes; 4 Module (Co)Algebras and (Bi)Comodule Algebras; 4.1 Module Algebras over Quasi-bialgebras; 4.2 Module Coalgebras over Quasi-bialgebras; 4.3 Comodule Algebras over Quasi-bialgebras; 4.4 Bicomodule Algebras and Two-sided Coactions; 4.5 Notes; 5 Crossed Products; 5.1 Smash Products; 5.2 Quasi-smash Products and Generalized Smash Products 5.3 Endomorphism H-module Algebras5.4 Two-sided Smash and Crossed Products; 5.5 H*-Hopf Bimodules; 5.6 Diagonal Crossed Products; 5.7 L-R-smash Products; 5.8 A Duality Theorem for Quasi-Hopf Algebras; 5.9 Notes; 6 Quasi-Hopf Bimodule Categories; 6.1 Quasi-Hopf Bimodules; 6.2 The Dual of a Quasi-Hopf Bimodule; 6.3 Structure Theorems for Quasi-Hopf Bimodules; 6.4 The Categories [sub(H)]M[sub(H)sup(H)] and [sub(H)]M; 6.5 A Structure Theorem for Comodule Algebras; 6.6 Coalgebras in [sub(H)]M[sub(H)sup(H)]; 6.7 Notes; 7 Finite-Dimensional Quasi-Hopf Algebras; 7.1 Frobenius Algebras |
| ctrlnum | (OCoLC)1091029413 |
| dewey-full | 512/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.55 |
| dewey-search | 512/.55 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-on1091029413 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:29:25Z |
| institution | BVB |
| isbn | 9781108632652 1108632653 9781108582780 1108582788 |
| language | English |
| oclc_num | 1091029413 |
| open_access_boolean | |
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| owner_facet | MAIN DE-863 DE-BY-FWS |
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| psigel | ZDB-4-EBA |
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| publishDateSearch | 2019 |
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| publisher | Cambridge University Press, |
| record_format | marc |
| series | Encyclopedia of mathematics and its applications ; |
| series2 | Encyclopedia of mathematics and its applications ; |
| spelling | Bulacu, Daniel, 1973- author. https://id.oclc.org/worldcat/entity/E39PCjCbdMKPxPyRKt9CYfmgXd http://id.loc.gov/authorities/names/n2018044727 Quasi-Hopf algebras : a categorical approach / Daniel Bulacu (Universitatea din Bucureti, Romania), Stefaan Caenepeel (Vrije Universiteit, Amsterdam), Florin Panaite (Institute of Mathematics of the Romanian Academy), Freddy van Oystaeyen (Universiteit Antwerpen, Belgium). Cambridge ; New York, NY : Cambridge University Press, [2019] 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier Encyclopedia of mathematics and its applications ; 171 Includes bibliographical references and index. Print version record. Cover; Half-title; Series information; Title page; Copyright information; Dedication; Contents; Preface; 1 Monoidal and Braided Categories; 1.1 Monoidal Categories; 1.2 Examples of Monoidal Categories; 1.2.1 The Category of Sets; 1.2.2 The Category of Vector Spaces; 1.2.3 The Category of Bimodules; 1.2.4 The Category of G-graded Vector Spaces; 1.2.5 The Category of Endo-functors; 1.2.6 A Strict Category Associated to a Monoidal Category; 1.3 Monoidal Functors; 1.4 Mac Lane's Strictification Theorem for Monoidal Categories; 1.5 (Pre- )Braided Monoidal Categories; 1.6 Rigid Monoidal Categories 1.7 The Left and Right Dual Functors1.8 Braided Rigid Monoidal Categories; 1.9 Notes; 2 Algebras and Coalgebras in Monoidal Categories; 2.1 Algebras in Monoidal Categories; 2.2 Coalgebras in Monoidal Categories; 2.3 The Dual Coalgebra/Algebra of an Algebra/Coalgebra; 2.4 Categories of Representations; 2.5 Categories of Corepresentations; 2.6 Braided Bialgebras; 2.7 Braided Hopf Algebras; 2.8 Notes; 3 Quasi-bialgebras and Quasi-Hopf Algebras; 3.1 Quasi-bialgebras; 3.2 Quasi-Hopf Algebras; 3.3 Examples of Quasi-bialgebras and Quasi-Hopf Algebras 3.4 The Rigid Monoidal Structure of HMfd and MHfd3.5 The Reconstruction Theorem for Quasi-Hopf Algebras; 3.6 Sovereign Quasi-Hopf Algebras; 3.7 Dual Quasi-Hopf Algebras; 3.8 Further Examples of (Dual) Quasi-Hopf Algebras; 3.9 Notes; 4 Module (Co)Algebras and (Bi)Comodule Algebras; 4.1 Module Algebras over Quasi-bialgebras; 4.2 Module Coalgebras over Quasi-bialgebras; 4.3 Comodule Algebras over Quasi-bialgebras; 4.4 Bicomodule Algebras and Two-sided Coactions; 4.5 Notes; 5 Crossed Products; 5.1 Smash Products; 5.2 Quasi-smash Products and Generalized Smash Products 5.3 Endomorphism H-module Algebras5.4 Two-sided Smash and Crossed Products; 5.5 H*-Hopf Bimodules; 5.6 Diagonal Crossed Products; 5.7 L-R-smash Products; 5.8 A Duality Theorem for Quasi-Hopf Algebras; 5.9 Notes; 6 Quasi-Hopf Bimodule Categories; 6.1 Quasi-Hopf Bimodules; 6.2 The Dual of a Quasi-Hopf Bimodule; 6.3 Structure Theorems for Quasi-Hopf Bimodules; 6.4 The Categories [sub(H)]M[sub(H)sup(H)] and [sub(H)]M; 6.5 A Structure Theorem for Comodule Algebras; 6.6 Coalgebras in [sub(H)]M[sub(H)sup(H)]; 6.7 Notes; 7 Finite-Dimensional Quasi-Hopf Algebras; 7.1 Frobenius Algebras This self-contained book dedicated to Drinfeld's quasi-Hopf algebras takes the reader from the basics to the state of the art. Hopf algebras. http://id.loc.gov/authorities/subjects/sh85061931 Tensor products. http://id.loc.gov/authorities/subjects/sh85133938 Tensor algebra. http://id.loc.gov/authorities/subjects/sh85133937 Algèbres de Hopf. Produits tensoriels. Algèbre tensorielle. MATHEMATICS Algebra Intermediate. bisacsh Álgebra tensorial embne Productos tensoriales embucm Hopf algebras fast Tensor algebra fast Tensor products fast Caenepeel, Stefaan, 1956- author. https://id.oclc.org/worldcat/entity/E39PCjFctBTJH7TJDR67pKmRPP http://id.loc.gov/authorities/names/n88137515 Panaite, Florin, 1970- author. https://id.oclc.org/worldcat/entity/E39PCjJ7WBGCYyqjQ8hyWH68BX http://id.loc.gov/authorities/names/n2018044729 Oystaeyen, F. Van, 1947- author. https://id.oclc.org/worldcat/entity/E39PBJc3MYgMFQcQgDchTFcMfq http://id.loc.gov/authorities/names/n79007748 has work: Quasi-Hopf algebras (Text) https://id.oclc.org/worldcat/entity/E39PCGXWt9qRVH6hGB7FpgHq6X https://id.oclc.org/worldcat/ontology/hasWork Print version: Bulacu, Daniel, 1973- Quasi-Hopf algebras. Cambridge ; New York, NY : Cambridge University Press, [2019] 9781108427012 (DLC) 2018034517 (OCoLC)1045209078 Encyclopedia of mathematics and its applications ; 171. http://id.loc.gov/authorities/names/n42010632 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=2026061 Volltext |
| spellingShingle | Bulacu, Daniel, 1973- Caenepeel, Stefaan, 1956- Panaite, Florin, 1970- Oystaeyen, F. Van, 1947- Quasi-Hopf algebras : a categorical approach / Encyclopedia of mathematics and its applications ; Cover; Half-title; Series information; Title page; Copyright information; Dedication; Contents; Preface; 1 Monoidal and Braided Categories; 1.1 Monoidal Categories; 1.2 Examples of Monoidal Categories; 1.2.1 The Category of Sets; 1.2.2 The Category of Vector Spaces; 1.2.3 The Category of Bimodules; 1.2.4 The Category of G-graded Vector Spaces; 1.2.5 The Category of Endo-functors; 1.2.6 A Strict Category Associated to a Monoidal Category; 1.3 Monoidal Functors; 1.4 Mac Lane's Strictification Theorem for Monoidal Categories; 1.5 (Pre- )Braided Monoidal Categories; 1.6 Rigid Monoidal Categories 1.7 The Left and Right Dual Functors1.8 Braided Rigid Monoidal Categories; 1.9 Notes; 2 Algebras and Coalgebras in Monoidal Categories; 2.1 Algebras in Monoidal Categories; 2.2 Coalgebras in Monoidal Categories; 2.3 The Dual Coalgebra/Algebra of an Algebra/Coalgebra; 2.4 Categories of Representations; 2.5 Categories of Corepresentations; 2.6 Braided Bialgebras; 2.7 Braided Hopf Algebras; 2.8 Notes; 3 Quasi-bialgebras and Quasi-Hopf Algebras; 3.1 Quasi-bialgebras; 3.2 Quasi-Hopf Algebras; 3.3 Examples of Quasi-bialgebras and Quasi-Hopf Algebras 3.4 The Rigid Monoidal Structure of HMfd and MHfd3.5 The Reconstruction Theorem for Quasi-Hopf Algebras; 3.6 Sovereign Quasi-Hopf Algebras; 3.7 Dual Quasi-Hopf Algebras; 3.8 Further Examples of (Dual) Quasi-Hopf Algebras; 3.9 Notes; 4 Module (Co)Algebras and (Bi)Comodule Algebras; 4.1 Module Algebras over Quasi-bialgebras; 4.2 Module Coalgebras over Quasi-bialgebras; 4.3 Comodule Algebras over Quasi-bialgebras; 4.4 Bicomodule Algebras and Two-sided Coactions; 4.5 Notes; 5 Crossed Products; 5.1 Smash Products; 5.2 Quasi-smash Products and Generalized Smash Products 5.3 Endomorphism H-module Algebras5.4 Two-sided Smash and Crossed Products; 5.5 H*-Hopf Bimodules; 5.6 Diagonal Crossed Products; 5.7 L-R-smash Products; 5.8 A Duality Theorem for Quasi-Hopf Algebras; 5.9 Notes; 6 Quasi-Hopf Bimodule Categories; 6.1 Quasi-Hopf Bimodules; 6.2 The Dual of a Quasi-Hopf Bimodule; 6.3 Structure Theorems for Quasi-Hopf Bimodules; 6.4 The Categories [sub(H)]M[sub(H)sup(H)] and [sub(H)]M; 6.5 A Structure Theorem for Comodule Algebras; 6.6 Coalgebras in [sub(H)]M[sub(H)sup(H)]; 6.7 Notes; 7 Finite-Dimensional Quasi-Hopf Algebras; 7.1 Frobenius Algebras Hopf algebras. http://id.loc.gov/authorities/subjects/sh85061931 Tensor products. http://id.loc.gov/authorities/subjects/sh85133938 Tensor algebra. http://id.loc.gov/authorities/subjects/sh85133937 Algèbres de Hopf. Produits tensoriels. Algèbre tensorielle. MATHEMATICS Algebra Intermediate. bisacsh Álgebra tensorial embne Productos tensoriales embucm Hopf algebras fast Tensor algebra fast Tensor products fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85061931 http://id.loc.gov/authorities/subjects/sh85133938 http://id.loc.gov/authorities/subjects/sh85133937 |
| title | Quasi-Hopf algebras : a categorical approach / |
| title_auth | Quasi-Hopf algebras : a categorical approach / |
| title_exact_search | Quasi-Hopf algebras : a categorical approach / |
| title_full | Quasi-Hopf algebras : a categorical approach / Daniel Bulacu (Universitatea din Bucureti, Romania), Stefaan Caenepeel (Vrije Universiteit, Amsterdam), Florin Panaite (Institute of Mathematics of the Romanian Academy), Freddy van Oystaeyen (Universiteit Antwerpen, Belgium). |
| title_fullStr | Quasi-Hopf algebras : a categorical approach / Daniel Bulacu (Universitatea din Bucureti, Romania), Stefaan Caenepeel (Vrije Universiteit, Amsterdam), Florin Panaite (Institute of Mathematics of the Romanian Academy), Freddy van Oystaeyen (Universiteit Antwerpen, Belgium). |
| title_full_unstemmed | Quasi-Hopf algebras : a categorical approach / Daniel Bulacu (Universitatea din Bucureti, Romania), Stefaan Caenepeel (Vrije Universiteit, Amsterdam), Florin Panaite (Institute of Mathematics of the Romanian Academy), Freddy van Oystaeyen (Universiteit Antwerpen, Belgium). |
| title_short | Quasi-Hopf algebras : |
| title_sort | quasi hopf algebras a categorical approach |
| title_sub | a categorical approach / |
| topic | Hopf algebras. http://id.loc.gov/authorities/subjects/sh85061931 Tensor products. http://id.loc.gov/authorities/subjects/sh85133938 Tensor algebra. http://id.loc.gov/authorities/subjects/sh85133937 Algèbres de Hopf. Produits tensoriels. Algèbre tensorielle. MATHEMATICS Algebra Intermediate. bisacsh Álgebra tensorial embne Productos tensoriales embucm Hopf algebras fast Tensor algebra fast Tensor products fast |
| topic_facet | Hopf algebras. Tensor products. Tensor algebra. Algèbres de Hopf. Produits tensoriels. Algèbre tensorielle. MATHEMATICS Algebra Intermediate. Álgebra tensorial Productos tensoriales Hopf algebras Tensor algebra Tensor products |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=2026061 |
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