Irreducible representations of SU(m/n)

DOI10.1063/1.525573zbMath0557.17002OpenAlexW2013552216MaRDI QIDQ3222342

Jean-Pierre Hurni, Benoît F. Morel

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525573

zbMATH Keywords

irreducible representationsspecial linear Lie superalgebrasnon-typical representations

Mathematics Subject Classification ID

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

Related Items (18)

Irreducible representations of the superalgebras type II ⋮ Integrable graded magnets ⋮ On the composition factors of Kac modules for the Lie superalgebras sl(m/n) ⋮ Application of generating function techniques to Lie superalgebras ⋮ Irreducible representations of the exceptional Lie superalgebras D(2,1;α) ⋮ Transformations of some induced osp(3/2) modules in an so(3)⊕sp(2) basis ⋮ Formal relations between classical superalgebras and fermion–boson creation and annihilation operators ⋮ Finite-dimensional representations of the Lie superalgebra gl(2/2) in a gl(2)⊕gl(2) basis. II. Nontypical representations ⋮ Norm of Bethe vectors in models with \(\mathfrak{gl}(m | n)\) symmetry ⋮ Irreducible holonomy algebras of Riemannian supermanifolds ⋮ Complete solution of a supersymmetric extended Hubbard model ⋮ Lie superalgebras ⋮ Character formulas for irreducible modules of the Lie superalgebras sl(m/n) ⋮ Classification of infinite dimensional irreducible modules for type I Lie superalgebras ⋮ SU(5/3) SUPERALGEBRA AND ITS REPRESENTATIONS OF FUNDAMENTAL PARTICLES ⋮ Mixed supertableaux of the superunitary groups. II. SU(n‖m) ⋮ Finite-dimensional representations of the Lie superalgebra sl(1,3) in a Gel’fand–Zetlin basis. I. Typical representations ⋮ Mixed supertableaux of the superunitary groups. I. SU(n‖1)

Cites Work

• Lie superalgebras

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