Dirac cohomology, elliptic representations and endoscopy

DOI10.1007/978-3-319-23443-4_9zbMath1344.22005arXiv1511.07618OpenAlexW2260254647MaRDI QIDQ2813594

Jing-Song Huang

Publication date: 24 June 2016

Published in: Representations of Reductive Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.07618

zbMATH Keywords

endoscopyDirac cohomologyHarish-Chandra modulepseudo-coefficientelliptic representation

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 (11)

Symplectic Dirac cohomology and lifting of characters to metaplectic groups ⋮ Dirac cohomology and orthogonality relations for weight modules ⋮ Dirac series for some real exceptional Lie groups ⋮ A vanishing theorem for Dirac cohomology of standard modules ⋮ Classification of \(A_{\mathfrak{q}}(\lambda)\) modules by their Dirac cohomology for type \(D\), \(G_{2}\) and \(\mathfrak{sp}(2 n, \mathbb{R})\) ⋮ A Casselman-Osborne theorem for rational Cherednik algebras ⋮ Euler-Poincaré pairing, Dirac index and elliptic pairing for Harish-Chandra modules ⋮ Dirac index and twisted characters ⋮ Dirac cohomology and character lifting ⋮ On classifying unitary modules by their Dirac cohomology ⋮ On the Dirac series of \(U(p, q)\)

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