Authors: Pavle Pandžić, Petr Somberg
Journal of Mathematical Physics 58, 041702 (2017);
https://doi.org/10.1063/1.4979623
Abstract: We introduce a Dirac operator for the quantum group , as an element of the tensor product of with the Clifford algebra on two generators. We study the properties of , including an analogue of Vogan’s conjecture. We compute the cohomology of acting on various -modules.