A generalization of h. Weyl's “unitary trick”

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H. Weyl’s “unitary trick is generalized to the context of semi-simple symmetric Lie algebras with Cartan subspaces, over fields of characteristic zero. As an illustration of its usefulness, the result is used to transfer to character­istic zero an important theorem in the representation theory of real semisimple Lie algebras.

Original languageEnglish (US)
Pages (from-to)229-236
Number of pages8
JournalTransactions of the American Mathematical Society
StatePublished - 1976

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics


  • Cartan subspaces
  • Harish-Chandra homomorphism
  • Linear properties
  • Semisimple symmetric Lie algebras
  • Symmetric triples
  • Weyl's “unitary trick”

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