The derived algebra of a stabilizer, families of coadjoint orbits, and sheets

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1 Scopus citations

Abstract

Let g be a finite-dimensional real or complex Lie algebra, and let μ 2 g. In the first part of the paper, we discuss the relation between the derived Lie algebra of the stabilizer of μ and the set of coadjoint orbits which have the same dimension as the orbit of μ. In the second part, we consider semisimple Lie algebras and discuss the relation between the derived algebra of a centralizer and sheets.

Original languageEnglish (US)
Pages (from-to)705-714
Number of pages10
JournalJournal of Lie Theory
Volume24
Issue number3
StatePublished - Mar 12 2014
Externally publishedYes

Keywords

  • Derived algebra of a centralizer
  • Lie algebras
  • Sheets

ASJC Scopus subject areas

  • Algebra and Number Theory

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