
Journal of Lie Theory 25 (2015), No. 1, 185213 Copyright Heldermann Verlag 2015 Dirac Cohomology of Unipotent Representations of Sp(2n,R) and U(p,q) Dan Barbasch Department of Mathematics, Cornell University, Ithaca, NY 14850, U.S.A. barbasch@math.cornell.edu Pavle Pandzic Department of Mathematics, University of Zagreb, Bijenicka 30, 10000 Zagreb, Croatia pandzic@math.hr 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 Ktypes with high multiplicity. Keywords: Lie group, Lie algebra, representation, special unipotent representation, Dirac operator, Dirac cohomology. MSC: 22E47; 22E46 [ Fulltextpdf (386 KB)] for subscribers only. 