A conjectured character formula for atypical irreducible modules of the Lie superalgebra sl(m/n)

DOI10.1088/0305-4470/20/16/002zbMath0646.17009OpenAlexW2048995740MaRDI QIDQ3789742

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

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1088/0305-4470/20/16/002

zbMATH Keywords

irreducible representationscharacter formulaspecial linear Lie superalgebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Superalgebras (17A70) Graded Lie (super)algebras (17B70)

Related Items (11)

On the composition factors of Kac modules for the Lie superalgebras sl(m/n) ⋮ Classification of star and grade-star representations of C(n+1) ⋮ Classification of all star and grade star irreps of gl(n‖1) ⋮ Transformations of some induced osp(3/2) modules in an so(3)⊕sp(2) basis ⋮ A character formula for singly atypical modules of the lie superalgebra sl(m/n) ⋮ Character formulae for the lie superalgebra C(n) ⋮ Branching rules for a class of typical and atypical representations of gl(m‖n) ⋮ Character formulas for irreducible modules of the Lie superalgebras sl(m/n) ⋮ Associative memory based on parametrically coupled chaotic elements ⋮ Notions of associative memory and sparse coding ⋮ Tensor product representations for orthosymplectic Lie superalgebras

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