Dirac cohomology of highest weight modules

DOI10.1007/s00029-011-0085-8zbMath1257.22012OpenAlexW1963877759MaRDI QIDQ1925772

Wei Xiao, Jing-Song Huang

Publication date: 19 December 2012

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00029-011-0085-8

zbMATH Keywords

nilpotent Lie algebrahighest weight modulecategory ODirac 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)

Related Items (9)

Higher Dirac cohomology of modules with generalized infinitesimal character ⋮ Dirac cohomology and geometric quantization ⋮ Dirac cohomology and orthogonality relations for weight modules ⋮ A vanishing theorem for Dirac cohomology of standard modules ⋮ Dirac cohomology for the BGG category \(\mathcal{O} \) ⋮ A Casselman-Osborne theorem for rational Cherednik algebras ⋮ Dirac cohomology, elliptic representations and endoscopy ⋮ Leading weight vectors and homomorphisms between generalized Verma modules ⋮ Dirac Cohomology and Generalization of Classical Branching Rules

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