Differential Representations of the Lie Superalgebra C(n+1)

DOI10.1142/S1005386712000624zbMath1293.17008WikidataQ115244841 ScholiaQ115244841MaRDI QIDQ2859263

Xiao Qing Yue, Yue Zhu Wu, Lin Sheng Zhu

Publication date: 7 November 2013

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

zbMATH Keywords

Verma modulesdifferential operatorssingular vectors

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Cites Work

• Composition factors of Kac modules for the general linear Lie superalgebras
• Character and dimension formulae for general linear superalgebra
• Primitive vectors of Kac-modules of the Lie superalgebras sl(m/n)
• Vector coherent state theory of the noncompact orthosymplectic superalgebras. I. General theory
• Classification of all star and grade star irreps of gl(n‖1)
• Cohomology of Lie superalgebras 𝔰𝔩_m|nand 𝔬𝔰𝔭_2|2n
• Vector-coherent-state theory as a theory of induced representations
• Bott–Borel–Weil construction for quantum supergroup Uq(gl(m|n))
• Character formulae for the lie superalgebra C(n)
• Lie superalgebras

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