A generalization of H. Weyl’s “unitary trick”

Lepowsky, J.

doi:10.1090/S0002-9947-1976-0389996-5

A generalization of H. Weyl’s “unitary trick”
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Trans. Amer. Math. Soc. 216 (1976), 229-236 Request permission

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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