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Polynomials and the mod 2 Steenrod Algebra : Volume 1: The Peterson Hit Problem /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2018.
|
| Colección: | London Mathematical Society lecture note series ;
441. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | EBSCO_on1013722827 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
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| 019 | |a 1242484214 | ||
| 020 | |a 1108359299 |q (electronic bk.) | ||
| 020 | |a 9781108359290 |q (electronic bk.) | ||
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| 020 | |z 9781108414487 |q (paperback) | ||
| 020 | |z 1108414486 |q (paperback) | ||
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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 1: |p The Peterson Hit Problem / |c Grant Walker, Reginald M.W. Wood. |
| 246 | 3 | 0 | |a Peterson hit problem |
| 264 | 1 | |a Cambridge : |b Cambridge University Press, |c 2018. | |
| 264 | 4 | |c ©2018 | |
| 300 | |a 1 online resource (xxiv, 346 pages) : |b illustrations | ||
| 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 441 | |
| 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 Steenrod squares and the hit problem -- Conjugate Steenrod squares -- The Steenrod algebra A2 -- Products and conjugation in A2 -- Combinatorial structures -- The cohit module Q(n) -- Bounds for dimQd(n) -- Special blocks and a basis for Q(3) -- The dual of the hit problem -- K(3) and Q(3) as F2GL(3)-modules -- The dual of the Steenrod algebra -- Further structure of A2 -- Stripping and nilpotence in A2 -- The 2-dominance theorem -- Invariants and the hit problem. | |
| 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 General. |2 bisacsh | |
| 650 | 7 | |a Polynomials |2 fast | |
| 650 | 7 | |a Steenrod algebra |2 fast | |
| 700 | 1 | |a Wood, Reginald M. W., |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 441. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1602650 |z Texto completo |
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| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n cis39102479 | ||
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