Gelfand-Kirillov dimensions of the \(\mathbb{Z}^{2}\)-graded oscillator representations of \(\mathfrak{sl}(n)\)

DOI10.1007/s10114-015-4237-1zbMath1395.17013arXiv1501.04774OpenAlexW2294786080MaRDI QIDQ887455

Zhan Qiang Bai

Publication date: 26 October 2015

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

Full work available at URL: https://arxiv.org/abs/1501.04774

zbMATH Keywords

universal enveloping algebraGelfand-Kirillov dimensionassociated varietyhighest-weight moduleminimal GK-dimension module

Mathematics Subject Classification ID

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

Related Items

Gelfand-Kirillov dimensions of the ℤ-graded oscillator representations of 𝔬(n,ℂ) and 𝔰𝔭(2n,ℂ)

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