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Polynomials and the mod 2 Steenrod Algebra : Volume 1, The Peterson Hit Problem.
・ISBN 978-1-108-41448-7 paper GB£ 88.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-108-33336-8
| 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 | 370 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-2023＞ |
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.