Author: Ana Prlić
Glasnik Matematički, Vol. 52, No. 2 (2017), 275-288.
Abstract. Let be the Lie group , with maximal compact subgroup . Let be the complexification of the Lie algebra of , and let be the universal enveloping algebra of . Let be the Cartan decomposition of , and the Clifford algebra of with respect to the trace form on . In this paper we give explicit generators of the algebra .
2010 Mathematics Subject Classification. 22E47, 22E46.
Key words and phrases. Lie group, Lie algebra, representation, Dirac operator, Dirac cohomology.