Morita Equivalence, GLn(Fq)-Modules, and the Steenrod Algebra

  • Nicholas J. Kuhn
Part of the Mathematical Sciences Research Institute Publications book series (MSRI, volume 27)

Abstract

The purpose of this announcement is to describe, on one hand, a new approach to the modular representation theory of the semigroup of n × n matrices M n (F q ) and its group of units GL n (F q ), and, on the other, a new approach to studying the category of unstable modules over the Steenrod “q th-power” operations. Perhaps most remarkable is that these two approaches are the same via a generalization of classical Morita equivalence.

Keywords

Stein 

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Copyright information

© Springer-Verlag New York, Inc. 1994

Authors and Affiliations

  • Nicholas J. Kuhn
    • 1
  1. 1.Department Of MathematicsUniversity of VirginiaCharlottesvilleUSA

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