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Polynomials and the mod 2 Steenrod Algebra : Volume 2, Representations of GL (n,F2).
・ISBN 978-1-108-41445-6 paper GB£ 84.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-108-30409-2
| 著者・編者 | Walker, Grant / Wood, Reginald M. W., |
|---|---|
| シリーズ | London Mathematical Society Lecture Note Series |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2017 |
| ページ数 | 378 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-2024＞ |
解説
This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's `hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n, F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.