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

Grant Walker, Reginald M. W. Wood (Autoren)

eBook Download: EPUB

2017
Cambridge University Press (Verlag)
978-1-108-35592-6 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 9.11.2017
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Graphentheorie
• ISBN-10: 1-108-35592-7 / 1108355927
• ISBN-13: 978-1-108-35592-6 / 9781108355926