Young supertableaux of the basic Lie superalgebras

DOI10.1088/0305-4470/20/17/016zbMath0636.17008OpenAlexW2075620183MaRDI QIDQ3775696

Jean-Pierre Hurni

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/10.1088/0305-4470/20/17/016

zbMATH Keywords

Lie superalgebrasindecomposable representationsYoung supertableauxatypical representationshighest weight maximal representationspseudo highest weight

Mathematics Subject Classification ID

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

Related Items (12)

A q-superdimension formula for irreps of type I quantum superalgebras ⋮ On the Lie superalgebra embedding C(n+1)⊃B(0,n) and dimension formulas ⋮ On the composition factors of Kac modules for the Lie superalgebras sl(m/n) ⋮ Two-loop spectroscopy of short ABJM operators ⋮ Classification of all star and grade star irreps of gl(n‖1) ⋮ Dimension formulas for the Lie superalgebra sl(m/n) ⋮ Transformations of some induced osp(3/2) modules in an so(3)⊕sp(2) basis ⋮ Character formulae for the lie superalgebra C(n) ⋮ A lattice approach to the conformal \(OSp(2S+2|2S)\) supercoset sigma model. Part I: algebraic structures in the spin chain. The Brauer algebra ⋮ Classification of all star irreps of gl(m‖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)

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