Gelfand–Kirillov Dimensions and Associated Varieties of Highest Weight Modules

DOI10.1093/IMRN/RNAC081zbMath1523.17012arXiv2005.11536OpenAlexW4226049199MaRDI QIDQ6101096

Wei Xiao, Zhan Qiang Bai, Xun Xie

Publication date: 31 May 2023

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.11536

zbMATH Keywords

Weyl groupsYoung tableauxsemisimple Lie algebrasassociated varietiesGK dimension

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

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Gelfand-Kirillov dimension and reducibility of scalar generalized Verma modules for classical Lie algebras

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