Elements of the representation theory of associative algebras.: Volume 1, Techniques of representation theory /
This first part of a two-volume set offers a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The authors present this topic from the perspective of linear representations of finite-oriented graphs (quivers) and homological al...
Gespeichert in:
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| Weitere Verfasser: | , |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
©2006.
|
| Schriftenreihe: | London Mathematical Society student texts ;
65. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This first part of a two-volume set offers a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The authors present this topic from the perspective of linear representations of finite-oriented graphs (quivers) and homological algebra. The self-contained treatment constitutes an elementary, up-to-date introduction to the subject using, on the one hand, quiver-theoretical techniques and, on the other, tilting theory and integral quadratic forms. Key features include many illustrative examples, plus a large number of end-of-chapter exercises. The detailed proofs make this work suitable both for courses and seminars, and for self-study. The volume will be of great interest to graduate students beginning research in the representation theory of algebras and to mathematicians from other fields. |
| Beschreibung: | 1 online resource (ix, 458 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9780511345456 0511345453 0511614306 9780511614309 |
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| 504 | |a Includes bibliographical references and index. | ||
| 520 | |a This first part of a two-volume set offers a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The authors present this topic from the perspective of linear representations of finite-oriented graphs (quivers) and homological algebra. The self-contained treatment constitutes an elementary, up-to-date introduction to the subject using, on the one hand, quiver-theoretical techniques and, on the other, tilting theory and integral quadratic forms. Key features include many illustrative examples, plus a large number of end-of-chapter exercises. The detailed proofs make this work suitable both for courses and seminars, and for self-study. The volume will be of great interest to graduate students beginning research in the representation theory of algebras and to mathematicians from other fields. | ||
| 505 | 0 | |a Cover; Title; Copyright; Contents; Introduction; Chapter I Algebras and modules; Chapter II Quivers and algebras; Chapter III Representations and modules; Chapter IV Auslander-Reiten theory; Chapter V Nakayama algebras and representation-finite group algebras; Chapter VI Tilting theory; Chapter VII Representation-finite hereditary algebras; Chapter VIII Tilted algebras; Chapter IX Directingmodules and postprojective components; Appendix A Categories, functors, and homology; Bibliography; Index; List of symbols | |
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| 650 | 6 | |a Algèbres associatives. | |
| 650 | 6 | |a Représentations des algèbres. | |
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| 650 | 7 | |a Associative algebras |2 fast | |
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| contents | Cover; Title; Copyright; Contents; Introduction; Chapter I Algebras and modules; Chapter II Quivers and algebras; Chapter III Representations and modules; Chapter IV Auslander-Reiten theory; Chapter V Nakayama algebras and representation-finite group algebras; Chapter VI Tilting theory; Chapter VII Representation-finite hereditary algebras; Chapter VIII Tilted algebras; Chapter IX Directingmodules and postprojective components; Appendix A Categories, functors, and homology; Bibliography; Index; List of symbols |
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| spelling | Assem, Ibrahim., author. Elements of the representation theory of associative algebras. Volume 1, Techniques of representation theory / Ibrahim Assem, Daniel Simson, Andrzej Skowroński. Cambridge ; New York : Cambridge University Press, ©2006. 1 online resource (ix, 458 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society student texts ; 65 Includes bibliographical references and index. This first part of a two-volume set offers a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The authors present this topic from the perspective of linear representations of finite-oriented graphs (quivers) and homological algebra. The self-contained treatment constitutes an elementary, up-to-date introduction to the subject using, on the one hand, quiver-theoretical techniques and, on the other, tilting theory and integral quadratic forms. Key features include many illustrative examples, plus a large number of end-of-chapter exercises. The detailed proofs make this work suitable both for courses and seminars, and for self-study. The volume will be of great interest to graduate students beginning research in the representation theory of algebras and to mathematicians from other fields. Cover; Title; Copyright; Contents; Introduction; Chapter I Algebras and modules; Chapter II Quivers and algebras; Chapter III Representations and modules; Chapter IV Auslander-Reiten theory; Chapter V Nakayama algebras and representation-finite group algebras; Chapter VI Tilting theory; Chapter VII Representation-finite hereditary algebras; Chapter VIII Tilted algebras; Chapter IX Directingmodules and postprojective components; Appendix A Categories, functors, and homology; Bibliography; Index; List of symbols Description based on online resource; title from PDF title page (viewed May 5, 2020). Associative algebras. http://id.loc.gov/authorities/subjects/sh85008821 Representations of algebras. http://id.loc.gov/authorities/subjects/sh85112938 Algèbres associatives. Représentations des algèbres. MATHEMATICS Algebra Intermediate. bisacsh Associative algebras fast Representations of algebras fast Simson, Daniel. http://id.loc.gov/authorities/names/n92074321 Skowroński, Andrzej. http://id.loc.gov/authorities/names/n82229740 has work: Techniques of representation theory Volume 1 Elements of the representation theory of associative algebras (Text) https://id.oclc.org/worldcat/entity/E39PCG6cYQtd9prPct7xqRj3Hy https://id.oclc.org/worldcat/ontology/hasWork Print version: Assem, Ibrahim. Elements of the representation theory of associative algebras. Volume 1, Techniques of representation theory. Cambridge ; New York : Cambridge University Press, ©2006 052158423X 9780521584234 (OCoLC)68762944 London Mathematical Society student texts ; 65. http://id.loc.gov/authorities/names/n84727069 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=208618 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=208618 Volltext |
| spellingShingle | Assem, Ibrahim Elements of the representation theory of associative algebras. London Mathematical Society student texts ; Cover; Title; Copyright; Contents; Introduction; Chapter I Algebras and modules; Chapter II Quivers and algebras; Chapter III Representations and modules; Chapter IV Auslander-Reiten theory; Chapter V Nakayama algebras and representation-finite group algebras; Chapter VI Tilting theory; Chapter VII Representation-finite hereditary algebras; Chapter VIII Tilted algebras; Chapter IX Directingmodules and postprojective components; Appendix A Categories, functors, and homology; Bibliography; Index; List of symbols Associative algebras. http://id.loc.gov/authorities/subjects/sh85008821 Representations of algebras. http://id.loc.gov/authorities/subjects/sh85112938 Algèbres associatives. Représentations des algèbres. MATHEMATICS Algebra Intermediate. bisacsh Associative algebras fast Representations of algebras fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85008821 http://id.loc.gov/authorities/subjects/sh85112938 |
| title | Elements of the representation theory of associative algebras. |
| title_auth | Elements of the representation theory of associative algebras. |
| title_exact_search | Elements of the representation theory of associative algebras. |
| title_full | Elements of the representation theory of associative algebras. Volume 1, Techniques of representation theory / Ibrahim Assem, Daniel Simson, Andrzej Skowroński. |
| title_fullStr | Elements of the representation theory of associative algebras. Volume 1, Techniques of representation theory / Ibrahim Assem, Daniel Simson, Andrzej Skowroński. |
| title_full_unstemmed | Elements of the representation theory of associative algebras. Volume 1, Techniques of representation theory / Ibrahim Assem, Daniel Simson, Andrzej Skowroński. |
| title_short | Elements of the representation theory of associative algebras. |
| title_sort | elements of the representation theory of associative algebras techniques of representation theory |
| topic | Associative algebras. http://id.loc.gov/authorities/subjects/sh85008821 Representations of algebras. http://id.loc.gov/authorities/subjects/sh85112938 Algèbres associatives. Représentations des algèbres. MATHEMATICS Algebra Intermediate. bisacsh Associative algebras fast Representations of algebras fast |
| topic_facet | Associative algebras. Representations of algebras. Algèbres associatives. Représentations des algèbres. MATHEMATICS Algebra Intermediate. Associative algebras Representations of algebras |
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