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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
rita.fioresi@unibo.it

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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