Character formulas for some classes of atypical \(gl(m+n\epsilon)\)- and \({\mathfrak p}(m)\)-modules

DOI10.1007/BF00398962zbMath0657.17016OpenAlexW2091300792MaRDI QIDQ1110645

I. B. Penkov, Vera V. Serganova

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf00398962

zbMATH Keywords

highest weight modulegeneral linear Lie superalgebracharacter formulasatypical modulesnondegenerate highest weight

Mathematics Subject Classification ID

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

Related Items (6)

Representations of classical Lie superalgebras of type I ⋮ On the composition factors of Kac modules for the Lie superalgebras sl(m/n) ⋮ Minimal free resolutions of determinantal ideals and irreducible representations of the Lie superalgebra \(gl(m\mid n)\) ⋮ Transformations of some induced osp(3/2) modules in an so(3)⊕sp(2) basis ⋮ Character formulas for irreducible modules of the Lie superalgebras sl(m/n) ⋮ Tensor product representations for orthosymplectic Lie superalgebras

Cites Work

• Cohomology of G/P for classical complex Lie supergroups G and characters of some atypical G-modules
• A very simple proof of Bott's theorem
• Une démonstration algébrique d'un théorème de Bott
• Representations of supergroups
• Branching rules for the supergroup SU(N/M) from those of SU(N+M)
• Characters of typical representations of classical lie superalgebras
• Lie superalgebras

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