paper

The dihedral Dunkl--Dirac symmetry algebra with negative Clifford signature

arXiv:2209.06599 · doi:10.1007/978-981-19-4751-3_50

Abstract

The Dunkl--Dirac symmetry algebra is an associative subalgebra of the tensor product of a Clifford algebra and the faithful polynomial representation of a rational Cherednik algebra. In previous work, the finite-dimensional representations of the Dunkl--Dirac symmetry algebra in three dimensions linked with a dihedral group were given. We give here the necessary results to proceed to the same construction when the Clifford algebra in the tensor product has negative signature.

7p. To appear as contribution to the proceedings of LT-XIV 2021

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