Unitary representations of basic classical Lie superalgebras

DOI10.1007/BF00398365zbMath0715.17027OpenAlexW2053555631MaRDI QIDQ752168

Mark D. Gould, Ruibin Zhang

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf00398365

zbMATH Keywords

highest weightunitary irreducible representationscovariantclassical Lie superalgebrascontravarianttensor representationsatypicalstar representations

Mathematics Subject Classification ID

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

Related Items (4)

Matrix elements and duality for type 2 unitary representations of the Lie superalgebra gl(m|n) ⋮ Classification of unitary and grade star irreps for U q (osp(2‖2n)) ⋮ Matrix elements for type 1 unitary irreducible representations of the Lie superalgebra gl(m|n) ⋮ Quantum superalgebra \(U_q\mathrm{osp}(2,2)\)

Cites Work

• Classification of all star and grade star irreps of gl(n‖1)
• Characters, dimensions and branching rules for covariant irreps of U(N/M)
• Representations of low-rank orthosymplectic superalgebras by superfield techniques
• Irreducible representations of the exceptional Lie superalgebras D(2,1;α)
• Diagram and superfield techniques in the classical superalgebras
• Representations of Osp(2, 1) and the metaplectic representation
• Dimension and character formulas for Lie supergroups
• Graded Lie algebras: Generalization of Hermitian representations
• Lie superalgebras

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