Polynomials and the mod 2 Steenrod algebra. volume 2, Representations of GL(n, F₂) / Grant Walker, University of Manchester ; Reginald M.W. Wood, University of Manchester.
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 t...
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| Online Access: |
Full Text (via Cambridge) |
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| Main Authors: | , |
| Other title: | Representations of GL(n, F₂) |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge :
Cambridge University Press,
2018.
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| Series: | London Mathematical Society lecture note series ;
442. |
| Subjects: |
| Summary: | 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. |
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| Physical Description: | 1 online resource (xxiv, 355 pages) |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 1108359280 9781108359283 |
| DOI: | 10.1017/9781108304092 |
| Source of Description, Etc. Note: | Print version record. |