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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.

About the Publisher

Cambridge University Press

Cambridge University Press dates from 1534 and is part of the University of Cambridge. We further the University's mission by disseminating knowledge in the pursuit of education, learning and research at the highest international levels of excellence.

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