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Polynomials and the mod 2 Steenrod Algebra: Volume 1, The Peterson Hit Problem by Grant Walker
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Polynomials and the mod 2 Steenrod Algebra: Volume 1, The Peterson Hit Problem

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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 NZ
November 9th, 2017
Pages
370
Audience
  • Postgraduate, Research & Scholarly
Illustrations
Worked examples or Exercises
Dimensions
151x227x22
ISBN-13
9781108414487
Product ID
26837361

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