Topological methods in Galois representation theory
著者
書誌事項
Topological methods in Galois representation theory
（Canadian Mathematical Society series of monographs and advanced texts）
Wiley, c1989
- タイトル別名
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Galois representation theory
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注記
"A Wiley-Interscience publication"
Bibliography: p. 291-295
Includes index
内容説明・目次
内容説明
Written by one of the world's leading algebraic topologists, this book introduces new techniques from topology into algebra, addressing several topics in algebra which are unified by their connection with the representation theory of Galois groups. The treatment is self-contained, addressing bilinear forms and local root numbers using techniques from cohomology theory, homotopy, and stable homotopy theory. Snaith's innovative approach is likely to inspire many similar applications of the explicit Brauer induction theory. The book contains much original research of interest to algebraic topologists, number theorists, and group theorists. The text will be of benefit to mathematicians, algebraists, algebraic topologists, number theorists and analysts.
目次
- Abelian cohomology of groups
- nonabelian cohomology of groups
- characteristic classes of forms and algebras
- higher-dimensional characteristic classes of Bilinear forms and Galois representations
- stable homotopy and induced representations
- explicit Brauer induction theory
- applications of explicit Brauer induction to Artin root numbers and local root numbers.
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