Polynomials and the Mod 2 Steenrod Algebra. Volume 2 Representations of GL (n,F2)

Polynomials and the Mod 2 Steenrod Algebra. Volume 2 Representations of GL (n,F2) - London Mathematical Society Lecture Note Series

Paperback (11 Sep 2017)

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Publisher's Synopsis

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.

Book information

ISBN: 9781108414456
Publisher: Cambridge University Press
Imprint: Cambridge University Press
Pub date:
DEWEY: 512.55
DEWEY edition: 23
Language: English
Number of pages: 378
Weight: 562g
Height: 155mm
Width: 228mm
Spine width: 25mm