Finite-dimensional representations of the Lie superalgebra sl(1,3) in a Gel’fand–Zetlin basis. I. Typical representations

DOI10.1063/1.526930zbMath0573.17003OpenAlexW2596629104MaRDI QIDQ3691891

Tchavdar D. Palev

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526930

zbMATH Keywords

representationsGel'fand-Zetlin basisspecial linear Lie superalgebra

Mathematics Subject Classification ID

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

Related Items

Finite-dimensional irreducible representations of the Lie superalgebra sl(1,3) in a Gel’fand–Zetlin basis ⋮ Wigner quantum systems. Two particles interacting via a harmonic potential. I. Two-dimensional space ⋮ Finite-dimensional representations of the Lie superalgebra sl(1,3) in a Gel’fand–Zetlin basis. II. Nontypical representations

Cites Work

• Irreducible representations of SU(m/n)
• The representations of spl(2,1)—an example of representations of basic superalgebras
• Canonical realizations of Lie superalgebras: Ladder representations of the Lie superalgebra A(m,n)
• Classification and construction of finite dimensional irreducible representations of the graded algebras; application to the (Sp(2n); 2n) algebra
• On the Representations of the Semisimple Lie Groups. II
• Lie superalgebras