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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

A generalization of H. Weyl's ``unitary trick''


Author: J. Lepowsky
Journal: Trans. Amer. Math. Soc. 216 (1976), 229-236
MSC: Primary 17B20
MathSciNet review: 0389996
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Abstract: H. Weyl's ``unitary trick'' is generalized to the context of semisimple 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.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1976-0389996-5
PII: S 0002-9947(1976)0389996-5
Keywords: Weyl's ``unitary trick", semisimple symmetric Lie algebras, Cartan subspaces, linear properties, symmetric triples, Harish-Chandra homomorphism
Article copyright: © Copyright 1976 American Mathematical Society