Characters and composition factor multiplicities for the Lie superalgebra \({\mathfrak{gl}}(m/n)\)

DOI10.1023/A:1007590920834zbMath0932.17009arXivmath/9811015MaRDI QIDQ1283350

Joris Van der Jeugt, Ruibin Zhang

Publication date: 12 March 2000

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

Full work available at URL: https://arxiv.org/abs/math/9811015

zbMATH Keywords

composition factorscharacter formulaKazhdan-Lusztig polynomialrepresentations of Lie superalgebrasKac moduleclassical Lie superalgebraLie superalgebra \({\mathfrak g}{\mathfrak l}(m/n)\)

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Superalgebras (17A70) Graded Lie (super)algebras (17B70)

Related Items (16)

Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤𝔩(𝔪|𝔫) ⋮ Composition factors of Kac modules for the general linear Lie superalgebras ⋮ Generalised Jantzen filtration of exceptional Lie superalgebras ⋮ Character and dimension formulae for general linear superalgebra ⋮ The first and second fundamental theorems of invariant theory for the quantum general linear supergroup ⋮ Highest weight vectors of mixed tensor products of general linear Lie superalgebras ⋮ A determinantal formula for supersymmetric Schur polynomials ⋮ Super duality and Kazhdan-Lusztig polynomials ⋮ Group-theoretical classification of BPS and possibly protected states in \(D=4\) conformal supersymmetry ⋮ Primitive vectors of Kac-modules of the Lie superalgebras sl(m/n) ⋮ Generalised Verma modules for the orthosymplectic Lie superalgebra \(\mathfrak {osp}_{k|2}\) ⋮ \(\mathfrak u\)-cohomology formula for unitarizable modules over general linear superalgebras ⋮ Weakly primitive vectors of Kac-modules of the Lie superalgebras sl(m/n) ⋮ Cohomology and support varieties for Lie superalgebras ⋮ Character and dimension formulae for queer Lie superalgebra ⋮ Cohomology of Lie superalgebras 𝔰𝔩_m|nand 𝔬𝔰𝔭_2|2n

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