For the double dihedral reflection group, the Dunkl TAMA admits a triangular subalgebra yielding necessary weight conditions for finite-dimensional irreps and explicit weight bases in unitary cases.
Über die Darstellung der symmetrischen und d er alternierenden Gruppe durch gebrochene lineare Substitutionen
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The double dihedral Dunkl total angular momentum algebra
For the double dihedral reflection group, the Dunkl TAMA admits a triangular subalgebra yielding necessary weight conditions for finite-dimensional irreps and explicit weight bases in unitary cases.