Algebraic Dirac Induction for Nonholomorphic Discrete Series of SU(2,1)
Journal of Lie Theory, Tome 26 (2016) no. 3, pp. 889-910
Voir la notice de l'article provenant de la source Heldermann Verlag
In a joint paper P. Pandzic and D. Renard [Dirac induction for Harish-Chandra modules, J. Lie Theory 20 (2010) 617--641] proved that holomorphic and antiholomorphic discrete series representations can be constructed via algebraic Dirac induction. The group SU(2,1), except for those two types, also has a third type of discrete series representations that are neither holomorphic nor antiholomorphic. In this paper we show that nonholomorphic discrete series representations of the group SU(2,1) can also be constructed using algebraic Dirac induction.
Classification :
22E47, 22E46
Mots-clés : Lie group, Lie algebra, discrete series, highest weight, minimal K-type, Dirac operator, Dirac cohomology, Dirac induction
Mots-clés : Lie group, Lie algebra, discrete series, highest weight, minimal K-type, Dirac operator, Dirac cohomology, Dirac induction
Affiliations des auteurs :
Ana Prlic 1
Ana Prlic. Algebraic Dirac Induction for Nonholomorphic Discrete Series of SU(2,1). Journal of Lie Theory, Tome 26 (2016) no. 3, pp. 889-910. http://geodesic.mathdoc.fr/item/JOLT_2016_26_3_a15/
@article{JOLT_2016_26_3_a15,
author = {Ana Prlic},
title = {Algebraic {Dirac} {Induction} for {Nonholomorphic} {Discrete} {Series} of {SU(2,1)}},
journal = {Journal of Lie Theory},
pages = {889--910},
year = {2016},
volume = {26},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JOLT_2016_26_3_a15/}
}