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The dihedral Dunkl--Dirac symmetry algebra with negative Clifford signature (2209.06599v1)
Published 14 Sep 2022 in math.RT, math-ph, and math.MP
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.