Jacquet modules and Dirac cohomology

DOI10.1016/j.aim.2010.09.024zbMath1221.22014OpenAlexW2080348694MaRDI QIDQ626100

Jing-Song Huang, Chao-Ping Dong

Publication date: 22 February 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2010.09.024

zbMATH Keywords

generalized Verma moduleprincipal seriesDirac cohomologyHarish-Chandra moduleJacquet functor

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

Related Items (11)

Higher Dirac cohomology of modules with generalized infinitesimal character ⋮ Dirac cohomology and geometric quantization ⋮ Dirac cohomology of highest weight modules ⋮ On the Helgason-Johnson bound ⋮ Dirac cohomology for the BGG category \(\mathcal{O} \) ⋮ Scattered representations of \(\mathrm{SL}(n, \mathbb{C})\) ⋮ Spin norm, pencils, and the u-small convex hull ⋮ On the Dirac series of \(U(p, q)\) ⋮ Dirac cohomology, elliptic representations and endoscopy ⋮ Unitary representations with Dirac cohomology: a finiteness result for complex Lie groups ⋮ Dirac Cohomology and Generalization of Classical Branching Rules

Cites Work

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• Characters, asymptotic and n-homology of Harish-Chandra modules
• Jacquet modules of principal series generated by the trivial \(K\)-type
• Dirac cohomology of some Harish-Chandra modules
• Moduln mit einem höchsten Gewicht
• Reducibility of generalized principal series representations
• Representations of real reductive Lie groups
• Vanishing theorems for Lie algebra cohomology and the cohomology of discrete subgroups of semisimple Lie groups
• A generalization of the Bott-Weil theorem and Euler number multiplets of representations
• A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Dirac cohomology, unitary representations and a proof of a conjecture of Vogan
• Analogues of Kostant's -cohomology formulas for unitary highest weight modules.
• Dirac operators and Lie algebra cohomology

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