The weights of simple modules in category \(\mathcal{O}\) for Kac-Moody algebras

DOI10.1016/j.jalgebra.2022.03.030OpenAlexW4224250282MaRDI QIDQ2134019

Gurbir Dhillon, Apoorva Khare

Publication date: 5 May 2022

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

Full work available at URL: https://arxiv.org/abs/1606.09640

zbMATH Keywords

quantum groupparabolic Verma modulehighest weight moduleTits coneweight formulaBeilinson-Bernstein localizationWeyl-Kac formulaintegrable Weyl group

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Quantum groups (quantized function algebras) and their representations (20G42) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

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