Classification of star and grade-star representations of C(n+1)

DOI10.1063/1.528687zbMath0717.17023OpenAlexW1980873472WikidataQ60732519 ScholiaQ60732519MaRDI QIDQ3204648

Mark D. Gould, Ruibin Zhang

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528687

zbMATH Keywords

unitary representationsLie superalgebrastar representationsgrade-star representations

Mathematics Subject Classification ID

Superalgebras (17A70) Graded Lie (super)algebras (17B70)

Related Items

Classification of unitary and grade star irreps for U q (osp(2‖2n)), Bernstein-Gelfand-Gelfand resolutions for basic classical Lie superalgebras, Structure and representations on the quantum supergroup OSPq(2|2n), The exact \(S\)-matrix for an \(\text{osp}(2| 2)\) disordered system., Classification of infinite dimensional irreducible modules for type I Lie superalgebras

Cites Work

• Graded Lie algebras in mathematics and physics (Bose-Fermi symmetry)
• Branching rules for typical and atypical representations of gl(n|1)
• Representations of N=2 extended supergravity and unitarity conditions in Osp (N,4)
• A conjectured character formula for atypical irreducible modules of the Lie superalgebra sl(m/n)
• Representations of Osp(2, 1) and the metaplectic representation
• On the structure of simple pseudo Lie algebras and their invariant bilinear forms
• Graded Lie algebras: Generalization of Hermitian representations
• Irreducible representations of the osp(2,1) and spl(2,1) graded Lie algebras
• Atypical representations for type-I Lie superalgebras
• Lie superalgebras