Generic Jordan type of the symmetric and exterior powers

David J Benson, Kay Jin Lim

Research output: Contribution to journalArticle

Abstract

We prove a result relating the stable generic Jordan types of the symmetric and exterior powers of the Heller translations of a module for a finite elementary abelian p-group. In the case of the trivial module, the stable generic Jordan types of the symmetric and exterior powers of its Heller translations are completely described.
Read More: http://www.worldscientific.com/doi/abs/10.1142/S0219498813501636
Original languageEnglish
Article number1350163
Pages (from-to)1-8
Number of pages8
JournalJournal of Algebra and its Applications
Volume13
Issue number5
Early online date6 Dec 2013
DOIs
Publication statusPublished - Aug 2014

Keywords

  • modular representation theory
  • constant Jordan type
  • generic Jordan type
  • symmetric power
  • exterior power

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