INTEGRAL PAIRINGS AND DYNKIN INDEXES

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Abstract

We review two related notions of index introduced by Dynkin, one the index of a subgroup or subalgebra in a semi-simple group or algebra and the other being the index of a linear representation of a semi-simple Lie algebra. Amongst other results we give a simple algebraic proof of Dynkin's theorem that this first index is an integer.

Original languageEnglish
Pages (from-to)313-323
Number of pages11
JournalJournal of the London Mathematical Society
Volume43
Publication statusPublished - Apr 1991

Keywords

  • REPRESENTATIONS
  • INDEXES

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