On the Lie superalgebra embedding C(n+1)⊃B(0,n) and dimension formulas

DOI10.1063/1.531696zbMath0870.17003OpenAlexW2137714163MaRDI QIDQ5284852

Joris Van der Jeugt

Publication date: 27 February 1997

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

Full work available at URL: https://doi.org/10.1063/1.531696

zbMATH Keywords

branching rulesdimension formulastypical representationsatypical irreducible representationssuperdimension formulasorthosymplectic Lie superalgebras \(\text{osp} (m/2n)\)paraboson operators

Mathematics Subject Classification ID

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

Related Items (1)

Quasispin graded-fermion formalism and gl(m|n)↓osp(m|n) branching rules

Cites Work

• Graded Lie algebras in mathematics and physics (Bose-Fermi symmetry)
• Character expansion for U(N) groups and U(N/M) supergroups
• Young supertableaux of the basic Lie superalgebras
• Diagram and superfield techniques in the classical superalgebras
• Classification of all simple graded Lie algebras whose Lie algebra is reductive. I
• GENERIC IRREDUCIBLE REPRESENTATIONS OF FINITE-DIMENSIONAL LIE SUPERALGEBRAS
• Dimension formulas for the Lie superalgebra sl(m/n)
• Character formulas for irreducible modules of the Lie superalgebras sl(m/n)
• A character formula for singly atypical modules of the lie superalgebra sl(m/n)
• Character formulae for the lie superalgebra C(n)
• A Generalized Method of Field Quantization
• Lie superalgebras

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