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Polynomials and the mod 2 Steenrod algebra. volume 2, Representations of GL(n, F₂) /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2018.
|
| Colección: | London Mathematical Society lecture note series ;
442. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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|---|---|---|---|
| 001 | EBSCO_on1013737213 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
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| 008 | 171201t20182018enk ob 001 0 eng d | ||
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| 019 | |a 1011514853 |a 1011515144 | ||
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| 020 | |z 1108414486 |q (v. 1 ; |q paperback) | ||
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| 020 | |z 1108414060 |q (2 volume set ; |q paperback) | ||
| 035 | |a (OCoLC)1013737213 |z (OCoLC)1011514853 |z (OCoLC)1011515144 | ||
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| 049 | |a UAMI | ||
| 100 | 1 | |a Walker, Grant, |d 1960- |e author. | |
| 245 | 1 | 0 | |a Polynomials and the mod 2 Steenrod algebra. |n volume 2, |p Representations of GL(n, F₂) / |c Grant Walker, University of Manchester ; Reginald M.W. Wood, University of Manchester. |
| 246 | 3 | 0 | |a Representations of GL(n, F₂) |
| 264 | 1 | |a Cambridge : |b Cambridge University Press, |c 2018. | |
| 264 | 4 | |c ©2018 | |
| 300 | |a 1 online resource (xxiv, 355 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series ; |v 442 | |
| 520 | |a 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. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a The action of GL(n) on flags -- Irreducible F2GL(n)-modules -- Idempotents and characters -- Splitting P(n) as an A2-module -- The algebraic group G(n) -- Endomorphisms of P(n) over A2 -- The Steinberg summands of P(n) -- The d-spike module J(n) -- Partial flags and J(n) -- The symmetric hit problem -- The dual of the symmetric hit problem -- The cyclic splitting of P(n) -- The cyclic splitting of DP(n) -- The 4-variable hit problem, I -- The 4-variable hit problem, II. | |
| 588 | 0 | |a Print version record. | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Steenrod algebra. | |
| 650 | 0 | |a Polynomials. | |
| 650 | 6 | |a Algèbre de Steenrod. | |
| 650 | 6 | |a Polynômes. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Polynomials. |2 fast |0 (OCoLC)fst01070715 | |
| 650 | 7 | |a Steenrod algebra. |2 fast |0 (OCoLC)fst01132900 | |
| 700 | 1 | |a Wood, Reginald W. M., |e author. | |
| 776 | 0 | 8 | |i Print version: |a Walker, Grant. |t Polynomials and the mod 2 Steenrod algebra. Volume 1, The Peterson hit problem. |d Cambridge : Cambridge University Press, 2018 |z 9781108414487 |w (OCoLC)1016331117 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 442. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1602649 |z Texto completo |
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