Harish-Chandra Highest Weight Representations of Semisimple Lie Algebras and Lie Groups
Journal of Lie theory, Tome 33 (2023) no. 1, pp. 217-252
In this expository paper we describe the theory of Harish-Chandra highest weight representations and their explicit geometric realizations.
Classification :
22E45, 20G05, 51N30
Mots-clés : Lie algebra, Lie groups, representation theory
Mots-clés : Lie algebra, Lie groups, representation theory
@article{JLT_2023_33_1_JLT_2023_33_1_a9,
author = {R. Fioresi and V. S. Varadarajan},
title = {Harish-Chandra {Highest} {Weight} {Representations} of {Semisimple} {Lie} {Algebras} and {Lie} {Groups}},
journal = {Journal of Lie theory},
pages = {217--252},
year = {2023},
volume = {33},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JLT_2023_33_1_JLT_2023_33_1_a9/}
}
TY - JOUR AU - R. Fioresi AU - V. S. Varadarajan TI - Harish-Chandra Highest Weight Representations of Semisimple Lie Algebras and Lie Groups JO - Journal of Lie theory PY - 2023 SP - 217 EP - 252 VL - 33 IS - 1 UR - http://geodesic.mathdoc.fr/item/JLT_2023_33_1_JLT_2023_33_1_a9/ ID - JLT_2023_33_1_JLT_2023_33_1_a9 ER -
%0 Journal Article %A R. Fioresi %A V. S. Varadarajan %T Harish-Chandra Highest Weight Representations of Semisimple Lie Algebras and Lie Groups %J Journal of Lie theory %D 2023 %P 217-252 %V 33 %N 1 %U http://geodesic.mathdoc.fr/item/JLT_2023_33_1_JLT_2023_33_1_a9/ %F JLT_2023_33_1_JLT_2023_33_1_a9
R. Fioresi; V. S. Varadarajan. Harish-Chandra Highest Weight Representations of Semisimple Lie Algebras and Lie Groups. Journal of Lie theory, Tome 33 (2023) no. 1, pp. 217-252. http://geodesic.mathdoc.fr/item/JLT_2023_33_1_JLT_2023_33_1_a9/