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

J. Lepowsky

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

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

J. Lepowsky

Research output: Contribution to journal › Article › peer-review

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Abstract

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 language	English (US)
Pages (from-to)	229-236
Number of pages	8
Journal	Transactions of the American Mathematical Society
Volume	216
DOIs	https://doi.org/10.1090/S0002-9947-1976-0389996-5
State	Published - 1976
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Keywords

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

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10.1090/S0002-9947-1976-0389996-5

Cite this

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AB - 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.

KW - Cartan subspaces

KW - Harish-Chandra homomorphism

KW - Linear properties

KW - Semisimple symmetric Lie algebras

KW - Symmetric triples

KW - Weyl's “unitary trick”

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JO - Transactions of the American Mathematical Society

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ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

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