Modules of constant Jordan type with small non-projective part

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Abstract

Let E be an elementary abelian p-group of rank r and let k be an algebraically closed field of characteristic p. We prove that if M is a kE-module of stable constant Jordan type [a1]...[at
] with
j
aj
= min(r -1, p-2) then a1
=···=
at
= 1. The proof uses the theory of Chern classes of vector bundles on projective
space.
Original languageEnglish
Pages (from-to)29-33
Number of pages5
JournalAlgebras and Representation Theory
Volume16
Issue number1
Early online date11 Jun 2011
DOIs
Publication statusPublished - Feb 2013

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Keywords

  • modular representation theory
  • elementary abelian groups
  • constant Jordan type
  • vector bundles
  • Chern classes

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