Polynomials and the mod 2 Steenrod Algebra: Volume 2: Representations of GL(N F2): 442 (London Mathematical Society Lecture Note Series, Series Number 442) - Softcover

Walker, Grant

Softcover

ISBN 10: 1108414451 ISBN 13: 9781108414456

Publisher: Cambridge University Press, 2017

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 this title

About the Authors

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2017
• Language: English
• ISBN 10: 1108414451
• ISBN 13: 9781108414456
• Binding: Paperback
• Number of pages: 380