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- W8220962 abstract "This chapter deals with *-representations of enveloping algebras. Though some of the considerations and of the main results (e.g., Theorem 10.4.4) are valid for general *-representations, we aim to present a detailed study of integrable representations. To be more precise, let G be a Lie group with Lie algebra g, and let 𝓒(g) be the universal enveloping algebra of the complexification of g. A representation of the *-algebra 𝓒(g) is said to be G-integrable if it is equal to the infinitesimal representation dU of some unitary representation U of G. When G is connected and simply connected, the G-integrable representations are called simply integrable." @default.
- W8220962 created "2016-06-24" @default.
- W8220962 creator A5043414475 @default.
- W8220962 date "1990-01-01" @default.
- W8220962 modified "2023-10-18" @default.
- W8220962 title "Integrable Representations of Enveloping Algebras" @default.
- W8220962 doi "https://doi.org/10.1007/978-3-0348-7469-4_10" @default.
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