Superfield and matrix realizations of highest weight representations for osp(m/2n)

DOI10.1063/1.528852zbMath0715.17004OpenAlexW2036874527MaRDI QIDQ3202262

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Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528852

zbMATH Keywords

irreducible representationsorthogonal symplectic Lie superalgebragrade star representationsVector Coherent State

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Coherent states (81R30) Superalgebras (17A70)

Related Items (5)

Vector-coherent-state theory as a theory of induced representations ⋮ Coherent state triplets and their inner products ⋮ Transformations of some induced osp(3/2) modules in an so(3)⊕sp(2) basis ⋮ Representations of quantum superalgebra U q[gl(2|1) in a coherent state basis and generalization] ⋮ Vector coherent state theory of the generic representations of so(5) in an so(3) basis

Cites Work

• A rotor expansion of the su(3) Lie algebra
• Representations of low-rank orthosymplectic superalgebras by superfield techniques
• Finite- and infinite-dimensional representations of the orthosymplectic superalgebra OSP(3,2)
• Coherent states of the real symplectic group in a complex analytic parametrization. I. Unitary-operator coherent states
• Vector coherent state representation theory
• The matrix representations of g2. I. Representations in an so(4) basis
• Branching rules for classical Lie groups using tensor and spinor methods
• Graded Lie algebras: Generalization of Hermitian representations
• Irreducible representations of the osp(2,1) and spl(2,1) graded Lie algebras
• Highest weight representations for gl(m/n) and gl(m+n)
• Lie superalgebras

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