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Central Simple Algebras and Galois C...
~
Gille, Philippe.
Central Simple Algebras and Galois Cohomology.
紀錄類型:
書目-電子資源 : 單行本
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.
電子資源:
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:
96803
Electronic books.
LC Class. No.: QA612.3 . / G55 2006
Dewey Class. No.: 514.23
Central Simple Algebras and Galois Cohomology.
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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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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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