engleski

Construction of discrete series representations of SOe(4, 1) via algebraic Dirac induction

The notion of algebraic Dirac induction was introduced by P.Pandžić and D. Renard. This is a construction which gives representations with prescribed Dirac cohomology. They proved that all holomorphic discrete series representations can be constructed via Dirac induction. All discrete series representations of the group SOe(4, 1) are nonholomorphic. In this paper we prove that they can also be constructed using algebraic Dirac induction.

discrete series, Dirac cohomology, Dirac induction

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