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

Erscheinungsjahr 2017
ISBN: 978-1-108-35928-3
Verlag: Cambridge University Press
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 442, 0 Seiten

Reihe: London Mathematical Society Lecture Note Series

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.

Autoren/Hrsg.

Walker, Grant

Wood, Reginald M. W.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik
• Mathematik | Informatik Mathematik Topologie Algebraische Topologie
• Mathematik | Informatik Mathematik Algebra

Über Autor(innen)

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.