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Polynomials and the mod 2 Steenrod Algebra by Grant Walker, Reginald M. W. Wood

Polynomials and the mod 2 Steenrod Algebra

by Grant Walker , Reginald M. W. Wood
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Book cover type: Paperback
  • ISBN13: 9781108414456
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date:
  • Pages: 378
  • Original Price: GBP 84.0
  • Language: English
  • Edition: N/A
  • Item Weight: 563 grams
  • BISAC Subject(s): Topology

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.

Walker, Grant: - Grant Walker was a senior lecturer in the School of Mathematics at the University of Manchester before his retirement in 2005.

Wood, Reginald M. W.: - Reginald M. W. Wood was a Professor in the School of Mathematics at the University of Manchester before his retirement in 2005.

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