Branching rules for a class of typical and atypical representations of gl(m‖n)

DOI10.1063/1.528983zbMath0728.17004OpenAlexW2053682326WikidataQ60732521 ScholiaQ60732521MaRDI QIDQ3351561

A. J. Bracken, Peter D. Jarvis, Mark D. Gould

Publication date: 1990

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

Full work available at URL: https://espace.library.uq.edu.au/view/UQ:299730/UQ299730_OA.pdf

zbMATH Keywords

highest weight modulesLie superalgebrabranching rulesGel'fand- Tsetlin basis

Mathematics Subject Classification ID

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

Related Items (6)

Matrix elements and duality for type 2 unitary representations of the Lie superalgebra gl(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 ⋮ Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n) ⋮ Matrix elements for type 1 unitary irreducible representations of the Lie superalgebra gl(m|n) ⋮ Classification of infinite dimensional irreducible modules for type I Lie superalgebras

Cites Work

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• Representations of Osp(2, 1) and the metaplectic representation
• Branching rules for the supergroup SU(N/M) from those of SU(N+M)
• Irreducible representations of the superalgebras type II
• Finite-dimensional representations of the special linear Lie superalgebra sl(1,n). II. Nontypical representations
• Atypical representations for type-I Lie superalgebras
• Characteristic Identities for Generators of GL(n), O(n) and Sp(n)
• Lie superalgebras

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