Unitary Hecke algebra modules with nonzero Dirac cohomology

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Abstract

In this paper, we review the construction of the Dirac operator for graded affine Hecke algebras and calculate the Dirac cohomology of irreducible unitary modules for the graded Hecke algebra of gl(n).

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Barbasch, D., & Ciubotaru, D. (2014). Unitary Hecke algebra modules with nonzero Dirac cohomology. In Progress in Mathematics (Vol. 257, pp. 1–20). Springer Basel. https://doi.org/10.1007/978-1-4939-1590-3_1

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