Congruence classes of finite representations of simple Lie superalgebra

DOI10.1063/1.525531zbMath0502.17005OpenAlexW2068720456MaRDI QIDQ3967680

F. W. Lemire, Jirí Patera

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525531

zbMATH Keywords

simple Lie algebrassimple Lie superalgebrascongruence of representationsH-integral representation

Mathematics Subject Classification ID

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

Related Items

SU(m/n) weight systems and superprojection matrices ⋮ Composite link polynomials from super Chern-Simons theory ⋮ The orthogonal systems of functions on lattices of SU(n + 1), n < ∞ ⋮ Lie superalgebras

Cites Work

• Semisimple subalgebras of semisimple Lie algebras
• The tensor product of two irreducible representations of the spl(2,1) superalgebra
• The representations of spl(2,1)—an example of representations of basic superalgebras
• Congruence number, a generalization of SU(3) triality
• Second and fourth indices of plethysms
• Lie superalgebras