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

DOI10.1080/00927872.2020.1715419zbMath1444.22012arXiv1811.01610OpenAlexW3003800427MaRDI QIDQ5112768

Ana Prlić

Publication date: 8 June 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.01610

zbMATH Keywords

discrete seriesDirac cohomologyDirac induction

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (2)

Twisted Dirac Index and Applications to Characters ⋮ Unnamed Item

Cites Work

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• Dirac cohomology of some Harish-Chandra modules
• On Blattner's formula for the discrete series representations of \(SO(2n,1)\)
• Dirac cohomology, unitary representations and a proof of a conjecture of Vogan
• K-invariants in the algebra U(g) ⊗ C(p) for the group SU(2,1)
• Algebraic Dirac induction for nonholomorphic discrete series of SU(2, 1)
• The centralizer of K in U(𝔤) ⊗ C(𝔭) for the group SOe(4,1)
• Algebraic and analytic Dirac induction for graded affine Hecke algebras

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