Gelfand-Kirillov dimension and reducibility of scalar generalized Verma modules

DOI10.1007/s10114-019-9069-yzbMath1428.22015OpenAlexW2980587330WikidataQ127014156 ScholiaQ127014156MaRDI QIDQ2011169

Wei Xiao, Zhan Qiang Bai

Publication date: 28 November 2019

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-019-9069-y

zbMATH Keywords

reducibilityGelfand-Kirillov dimensiongeneralized Verma module

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)

Related Items (2)

Gelfand-Kirillov dimension and reducibility of scalar generalized Verma modules for classical Lie algebras ⋮ Reducibility of generalized Verma modules for Hermitian symmetric pairs

Cites Work

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• Resolutions and Hilbert series of determinantal varieties and unitary highest weight modules.
• On the reducibility of scalar generalized Verma modules associated to maximal parabolic subalgebras
• Reducibility of generalized Verma modules for Hermitian symmetric pairs
• Leading weight vectors and homomorphisms between generalized Verma modules
• The Gelfand-Kirillov dimension of a unitary highest weight module
• Homomorphisms Between Generalized Verma Modules
• On Reducibility Criterions for Scalar Generalized Verma Modules Associated to Maximal Parabolic Subalgebras
• Gelfand–Kirillov Dimensions of Highest Weight Harish-Chandra Modules for $\boldsymbol{{SU}(p,q)}$

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