Dirac cohomology for the degenerate affine Hecke Clifford algebra
arXiv:1310.6668
Abstract
We define an analogue of the Dirac operator for the degenerate affine Hecke-Clifford algebra. A main result is to relate the central characters of the degenerate affine Hecke-Clifford algebra with the central characters of the Sergeev algebra via Dirac cohomology. The action of the Dirac operator on certain modules is also computed. Results in this paper could be viewed as a projective version of the Dirac cohomology of the degenerate affine Hecke algebra.
arXiv commentv2: 38 pages, corrected misprints; degenerates affine Hecke-Clifford algebras of other classical types are also considered; accepted by Transformation Groups