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Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of GL (n,F2) by Grant Walker
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Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of GL (n,F2)

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Description

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.

Author Biography:

Grant Walker was a senior lecturer in the School of Mathematics at the University of Manchester before his retirement in 2005. Reginald M. W. Wood was a Professor in the School of Mathematics at the University of Manchester before his retirement in 2005.
Release date Australia
November 9th, 2017
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Illustrations
Worked examples or Exercises; 1 Line drawings, black and white
Pages
378
Dimensions
152x227x23
ISBN-13
9781108414456
Product ID
26837354

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