Essentially typical representations of Lie superalgebras \({\mathfrak gl}(n| m)\) in the Gel'fand-Tsetlin basis

DOI10.1007/BF01078788zbMath0707.17017OpenAlexW2037321502MaRDI QIDQ919454

Elsie Sterbin Gottlieb

Publication date: 1989

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01078788

zbMATH Keywords

irreducible modulesgeneral linear Lie superalgebraGel'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 (10)

Composition factors of Kac modules for the general linear Lie superalgebras ⋮ Transformations of some induced osp(3/2) modules in an so(3)⊕sp(2) basis ⋮ Finite-dimensional representations of the quantum superalgebra Uq[gl(2/2). II. Nontypical representations at generic q] ⋮ Finite-dimensional irreducible representations of the quantum superalgebra \(U_ q[gl(n/1)\)] ⋮ Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n) ⋮ Primitive vectors of Kac-modules of the Lie superalgebras sl(m/n) ⋮ Matrix elements for type 1 unitary irreducible representations of the Lie superalgebra gl(m|n) ⋮ Gelfand–Tsetlin Bases for Classical Lie Algebras ⋮ Highest weight irreducible representations of the Lie superalgebra gl(1|∞) ⋮ Gel’fand–Zetlin basis and Clebsch–Gordan coefficients for covariant representations of the Lie superalgebra gl(m∣n)

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