Central simple algebras and Galois cohomology /:
The first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields. Assuming only a solid background in algebra, it reaches such advanced results as the Merkurjev-Suslin theorem. The book is a graduate textbook and a reference for researchers working in algeb...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, UK :
Cambridge University Press,
2006.
|
| Schriftenreihe: | Cambridge studies in advanced mathematics ;
101. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | The first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields. Assuming only a solid background in algebra, it reaches such advanced results as the Merkurjev-Suslin theorem. The book is a graduate textbook and a reference for researchers working in algebra, algebraic geometry or K-theory. |
| Beschreibung: | 1 online resource (ix, 343 pages :) |
| Bibliographie: | Includes bibliographical references (pages 323-338) and index. |
| ISBN: | 9780511226359 0511226357 0511225164 9780511225161 9780511224492 0511224494 9780521861038 0521861039 9780511607219 0511607210 1107167914 9781107167919 1280550546 9781280550546 9786610550548 6610550549 0511225784 9780511225789 0511318030 9780511318030 |
Internformat
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| 245 | 1 | 0 | |a Central simple algebras and Galois cohomology / |c Philippe Gille, Tamás Szamuely. |
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| 490 | 1 | |a Cambridge studies in advanced mathematics ; |v 101 | |
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| 520 | |a The first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields. Assuming only a solid background in algebra, it reaches such advanced results as the Merkurjev-Suslin theorem. The book is a graduate textbook and a reference for researchers working in algebra, algebraic geometry or K-theory. | ||
| 505 | 0 | |a Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; Acknowledgments; 1 Quaternion algebras; 2 Central simple algebras and Galois descent; 3 Techniques from group cohomology; 4 The cohomological Brauer group; 5 Severi-Brauer varieties; 6 Residue maps; 7 Milnor K-theory; 8 The Merkurjev-Suslin theorem; 9 Symbols in positive characteristic; Appendix: A breviary of algebraic geometry; Bibliography; Index. | |
| 588 | 0 | |a Print version record. | |
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Datensatz im Suchindex
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| adam_text | |
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| author | Gille, Philippe, 1968- |
| author2 | Szamuely, Tamás |
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| author_facet | Gille, Philippe, 1968- Szamuely, Tamás |
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| contents | Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; Acknowledgments; 1 Quaternion algebras; 2 Central simple algebras and Galois descent; 3 Techniques from group cohomology; 4 The cohomological Brauer group; 5 Severi-Brauer varieties; 6 Residue maps; 7 Milnor K-theory; 8 The Merkurjev-Suslin theorem; 9 Symbols in positive characteristic; Appendix: A breviary of algebraic geometry; Bibliography; Index. |
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| dewey-full | 514.23 |
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| dewey-ones | 514 - Topology |
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| discipline | Mathematik |
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| owner_facet | MAIN |
| physical | 1 online resource (ix, 343 pages :) |
| psigel | ZDB-4-EBA |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | Cambridge studies in advanced mathematics ; |
| series2 | Cambridge studies in advanced mathematics ; |
| spelling | Gille, Philippe, 1968- https://id.oclc.org/worldcat/entity/E39PCjyBwbYh8WXxt7wdWc8V4q http://id.loc.gov/authorities/names/no2006117800 Central simple algebras and Galois cohomology / Philippe Gille, Tamás Szamuely. Cambridge, UK : Cambridge University Press, 2006. 1 online resource (ix, 343 pages :) text txt rdacontent computer c rdamedia online resource cr rdacarrier Cambridge studies in advanced mathematics ; 101 Includes bibliographical references (pages 323-338) and index. The first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields. Assuming only a solid background in algebra, it reaches such advanced results as the Merkurjev-Suslin theorem. The book is a graduate textbook and a reference for researchers working in algebra, algebraic geometry or K-theory. Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; Acknowledgments; 1 Quaternion algebras; 2 Central simple algebras and Galois descent; 3 Techniques from group cohomology; 4 The cohomological Brauer group; 5 Severi-Brauer varieties; 6 Residue maps; 7 Milnor K-theory; 8 The Merkurjev-Suslin theorem; 9 Symbols in positive characteristic; Appendix: A breviary of algebraic geometry; Bibliography; Index. Print version record. English. Galois cohomology. http://id.loc.gov/authorities/subjects/sh2003001124 Algebra. http://id.loc.gov/authorities/subjects/sh85003425 Cohomologie galoisienne. Algèbre. algebra. aat MATHEMATICS Topology. bisacsh Algebra fast Galois cohomology fast Galois-Kohomologie gnd http://d-nb.info/gnd/4019172-2 Zentral einfache Algebra gnd http://d-nb.info/gnd/4620287-0 Electronic books. Szamuely, Tamás. http://id.loc.gov/authorities/names/n2003010554 has work: Central simple algebras and Galois cohomology (Text) https://id.oclc.org/worldcat/entity/E39PCGRfXqc3WFTKr9bVqVKMvb https://id.oclc.org/worldcat/ontology/hasWork Print version: Gille, Philippe, 1968- Central simple algebras and Galois cohomology. Cambridge, UK : Cambridge University Press, 2006 0521861039 9780521861038 (DLC) 2006299783 (OCoLC)71147069 Cambridge studies in advanced mathematics ; 101. http://id.loc.gov/authorities/names/n84708314 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=165333 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=165333 Volltext |
| spellingShingle | Gille, Philippe, 1968- Central simple algebras and Galois cohomology / Cambridge studies in advanced mathematics ; Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; Acknowledgments; 1 Quaternion algebras; 2 Central simple algebras and Galois descent; 3 Techniques from group cohomology; 4 The cohomological Brauer group; 5 Severi-Brauer varieties; 6 Residue maps; 7 Milnor K-theory; 8 The Merkurjev-Suslin theorem; 9 Symbols in positive characteristic; Appendix: A breviary of algebraic geometry; Bibliography; Index. Galois cohomology. http://id.loc.gov/authorities/subjects/sh2003001124 Algebra. http://id.loc.gov/authorities/subjects/sh85003425 Cohomologie galoisienne. Algèbre. algebra. aat MATHEMATICS Topology. bisacsh Algebra fast Galois cohomology fast Galois-Kohomologie gnd http://d-nb.info/gnd/4019172-2 Zentral einfache Algebra gnd http://d-nb.info/gnd/4620287-0 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh2003001124 http://id.loc.gov/authorities/subjects/sh85003425 http://d-nb.info/gnd/4019172-2 http://d-nb.info/gnd/4620287-0 |
| title | Central simple algebras and Galois cohomology / |
| title_auth | Central simple algebras and Galois cohomology / |
| title_exact_search | Central simple algebras and Galois cohomology / |
| title_full | Central simple algebras and Galois cohomology / Philippe Gille, Tamás Szamuely. |
| title_fullStr | Central simple algebras and Galois cohomology / Philippe Gille, Tamás Szamuely. |
| title_full_unstemmed | Central simple algebras and Galois cohomology / Philippe Gille, Tamás Szamuely. |
| title_short | Central simple algebras and Galois cohomology / |
| title_sort | central simple algebras and galois cohomology |
| topic | Galois cohomology. http://id.loc.gov/authorities/subjects/sh2003001124 Algebra. http://id.loc.gov/authorities/subjects/sh85003425 Cohomologie galoisienne. Algèbre. algebra. aat MATHEMATICS Topology. bisacsh Algebra fast Galois cohomology fast Galois-Kohomologie gnd http://d-nb.info/gnd/4019172-2 Zentral einfache Algebra gnd http://d-nb.info/gnd/4620287-0 |
| topic_facet | Galois cohomology. Algebra. Cohomologie galoisienne. Algèbre. algebra. MATHEMATICS Topology. Algebra Galois cohomology Galois-Kohomologie Zentral einfache Algebra Electronic books. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=165333 |
| work_keys_str_mv | AT gillephilippe centralsimplealgebrasandgaloiscohomology AT szamuelytamas centralsimplealgebrasandgaloiscohomology |