Primitive vectors of Kac-modules of the Lie superalgebras sl(m/n)

DOI10.1063/1.533392zbMath0988.17004arXivmath/9907040OpenAlexW3103053663MaRDI QIDQ2738097

Ronald C. King, Yucai Su, J. W. B. Hughes

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9907040

zbMATH Keywords

indecomposable modulescomposition factorsLie superalgebra \(\text{sl}(m/n)\)

Mathematics Subject Classification ID

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

Related Items (9)

Composition factors of Kac modules for the general linear Lie superalgebras ⋮ Generalised Jantzen filtration of exceptional Lie superalgebras ⋮ Affine walled Brauer algebras and super Schur-Weyl duality ⋮ Highest weight vectors of mixed tensor products of general linear Lie superalgebras ⋮ CLASSIFICATION OF INFINITE DIMENSIONAL WEIGHT MODULES OVER THE LIE SUPERALGEBRAsl(2/1) ⋮ Generalised Verma modules for the orthosymplectic Lie superalgebra \(\mathfrak {osp}_{k|2}\) ⋮ The syzygies of some thickenings of determinantal varieties ⋮ Cohomology of Lie superalgebras 𝔰𝔩_m|nand 𝔬𝔰𝔭_2|2n ⋮ Differential Representations of the Lie Superalgebra C(n+1)

Cites Work

• Kazhdan-Lusztig polynomials and character formula for the Lie superalgebra \({\mathfrak {gl}}(m\mid n)\)
• Essentially typical representations of Lie superalgebras \({\mathfrak gl}(n| m)\) in the Gel'fand-Tsetlin basis
• Indecomposable representations of special linear Lie superalgebras
• Characters and composition factor multiplicities for the Lie superalgebra \({\mathfrak{gl}}(m/n)\)
• On the composition factors of Kac modules for the Lie superalgebras sl(m/n)
• Classification of finite dimensional modules of the lie superalgebra sl(2/1)
• Characters of typical representations of classical lie superalgebras
• Finite-dimensional representations of the special linear Lie superalgebra sl(1,n). II. Nontypical representations
• Kac modules of sl (2/2) and the extended Kac‐Weyl formulas
• Character formulas for irreducible modules of the Lie superalgebras sl(m/n)
• Character formulae for the lie superalgebra C(n)
• Lie superalgebras

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