UID:
almafu_9960117992002883
Format:
1 online resource (xxiv, 355 pages) :
,
digital, PDF file(s).
ISBN:
1-108-35592-7
,
1-108-30409-5
,
1-108-35928-0
Series Statement:
London Mathematical Society lecture note series ; 442
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 17 Nov 2017).
Additional Edition:
ISBN 1-108-41445-1
Language:
English
URL:
https://doi.org/10.1017/9781108304092
