Symplectic Dirac cohomology and lifting of characters to metaplectic groups

DOI10.1090/conm/768/15452OpenAlexW3162321237MaRDI QIDQ5043379

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Publication date: 21 October 2022

Published in: Lie Groups, Number Theory, and Vertex Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.00157

zbMATH Keywords

Lie superalgebrasymplectic Dirac cohomology

Mathematics Subject Classification ID

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

Cites Work

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• A remarkable connection between the representations of the Lie superalgebras osp(1,2n) and the Lie algebras o(2n+1)
• Finite-dimensional representations of \(U_ q(osp (1/2n))\) and its connection with quantum \(so(2n+1)\)
• A geometric construction of the discrete series for semisimple Lie groups
• Partially harmonic spinors and representations of reductive Lie groups
• Lifting of characters on orthogonal and metaplectic groups
• Dirac cohomology for Lie superalgebras
• Dirac operator and the discrete series
• Dirac cohomology, unitary representations and a proof of a conjecture of Vogan
• Dirac cohomology, elliptic representations and endoscopy
• Dirac cohomology, K -characters and branching laws
• Lifting of characters on p-adic orthogonal and metaplectic groups
• SPECTRAL TRANSFER FOR METAPLECTIC GROUPS. I. LOCAL CHARACTER RELATIONS
• Endoscopy for Mp(2 n , [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /)]
• Lie superalgebras
• Lie groups beyond an introduction
• The Weyl algebra and the structure of all Lie superalgebras of Riemannian type

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