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Rational Representations, the Steerod Algebra and Functor Homology
     

Rational Representations, the Steerod Algebra and Functor Homology

by Vincent Franjou, Lionel Schwartz, Eric M. Friedlander, Teimuraz Pirashvili
 

ISBN-10: 2856291597

ISBN-13: 9782856291597

Pub. Date: 11/15/2004

Publisher: Societe Mathematique de France

The book presents aspects of homological algebra in functor categories, with emphasis on polynomial functors between vector spaces over a finite field. With these foundations in place, the book presents applications to representation theory, algebraic topology and $K$-theory. As these applications reveal, functor categories offer powerful computational techniques

Overview

The book presents aspects of homological algebra in functor categories, with emphasis on polynomial functors between vector spaces over a finite field. With these foundations in place, the book presents applications to representation theory, algebraic topology and $K$-theory. As these applications reveal, functor categories offer powerful computational techniques and theoretical insights. T. Pirashvili sets the stage with a discussion of foundations. E. Friedlander then presents applications to the rational representations of general linear groups. L. Schwartz emphasizes the relation of functor categories to the Steenrod algebra. Finally, V. Franjou and T. Pirashvili present A. Scorichenko's understanding of the stable $K$-theory of rings as functor homology. The book is suitable for graduate students and researchers interested in algebra and algebraic geometry.

Product Details

ISBN-13:
9782856291597
Publisher:
Societe Mathematique de France
Publication date:
11/15/2004
Pages:
132

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