engleski

Dirac cohomology of unipotent representations of Sp(2n, R) and U(p, q)

We explicitly describe Dirac cohomology of special unipotent representations of the 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.

Lie group; unitary representation; unipotent representation; Dirac operator; Dirac cohomology

nije evidentirano