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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, Università 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. [ Fulltext-pdf (272 KB)] for subscribers only. |