1Department of Mathematics, Cornell University, Ithaca, NY 14850, U.S.A. 2Department of Mathematics, University of Zagreb, Bijenicka 30, 10000 Zagreb, Croatia
Journal of Lie Theory, Tome 25 (2015) no. 1, pp. 185-213
We compute the Dirac cohomology of the special unipotent representations of the real groups Sp(2n,R) and U(p,q). Unlike the simpler cases treated in the literature so far, the answer here is quite involved. In particular, the Dirac cohomology can contain K-types with high multiplicity.
1
Department of Mathematics, Cornell University, Ithaca, NY 14850, U.S.A.
2
Department of Mathematics, University of Zagreb, Bijenicka 30, 10000 Zagreb, Croatia
Dan Barbasch; Pavle Pandzic. Dirac Cohomology of Unipotent Representations of Sp(2n,R) and U(p,q). Journal of Lie Theory, Tome 25 (2015) no. 1, pp. 185-213. http://geodesic.mathdoc.fr/item/JOLT_2015_25_1_a9/
@article{JOLT_2015_25_1_a9,
author = {Dan Barbasch and Pavle Pandzic},
title = {Dirac {Cohomology} of {Unipotent} {Representations} of {Sp(2n,R)} and {U(p,q)}},
journal = {Journal of Lie Theory},
pages = {185--213},
year = {2015},
volume = {25},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JOLT_2015_25_1_a9/}
}
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AU - Pavle Pandzic
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