Exterior powers of the standard E 6 -module: An elementary approach

A. M. Semenov, A. N. Zubkov

Research output: Contribution to journalArticlepeer-review


For the standard 27-dimensional representation V of the exceptional group G of type E6 we prove that (SL(V),G) is a Donkin pair if and only if the characteristic of a ground field is greater than 13. We also develop an elementary approach to describe submodule structure of any exterior power of V.

Original languageEnglish
Pages (from-to)1097-1128
Number of pages32
JournalInternational Journal of Algebra and Computation
Issue number5
Publication statusPublished - Aug 1 2020
Externally publishedYes


  • Algebraic groups
  • Donkin pair
  • invariant theory
  • tilting module

ASJC Scopus subject areas

  • General Mathematics


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