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arXiv · 1811.01610

Construction of discrete series representations of $SO_{e}(4, 1)$ via algebraic Dirac induction

Ana Prlić
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Abstract

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 $SO_{e}(4,1)$ are nonholomorphic. In this paper we prove that they can also be constructed using algebraic Dirac induction.

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BibTeXRIS

Ana Prlić. 2019-12-21. Construction of discrete series representations of $SO_{e}(4, 1)$ via algebraic Dirac induction. https://arxiv.org/abs/1811.01610

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