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Journal of Lie Theory 33 (2023), No. 1, 217--252
Copyright Heldermann Verlag 2023

Harish-Chandra Highest Weight Representations of Semisimple Lie Algebras and Lie Groups

Rita Fioresi
FaBiT, UniversitÓ di Bologna, Italy

Veeravalli S. Varadarajan
Department of Mathematics, University of California, Los Angeles, U.S.A.

In this expository paper we describe the theory of Harish-Chandra highest weight representations and their explicit geometric realizations.

Keywords: Lie algebra, Lie groups, representation theory.

MSC: 22E45, 20G05, 51N30.

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