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Central Simple Algebras and Galois C...

Gille, Philippe.

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Central Simple Algebras and Galois Cohomology.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Central Simple Algebras and Galois Cohomology./
作者:	Gille, Philippe.
其他作者:	Bollobas, B.
出版者:	Cambridge :Cambridge University Press, : 2006.,
面頁冊數:	357 p.
內容註:	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
電子資源:	http://dx.doi.org/10.1017/CBO9780511607219#Click here to view book
ISBN:	9780511607219# (electronic bk.)

Central Simple Algebras and Galois Cohomology.
Gille, Philippe.

Central Simple Algebras and Galois Cohomology.[electronic resource]. - Cambridge :Cambridge University Press,2006. - 357 p.

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

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.

Electronic reproduction.

Available via World Wide Web.

Mode of access: World Wide Web.

ISBN: 9780511607219# (electronic bk.)Index Terms--Genre/Form:

542853
Electronic books.

LC Class. No.: QA612.3 . / G55 2006

Dewey Class. No.: 514.23

Central Simple Algebras and Galois Cohomology.
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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
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.
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