Finite-dimensional representations of the Lie superalgebra sl(1,3) in a Gel’fand-Zetlin basis. II: Nontypical representations. (English) Zbl 0614.17003
In this continuation of a previous paper [J. Math. Phys. 26, 1640-1660 (1985; Zbl 0573.17003)], all finite-dimensional, nontypical representations of the special linear Lie superalgebra \(sl(1,3)=A(0,2)\) are constructed explicitly in a Gel’fand-Zetlin basis. The results are compared with those obtained by the Young supertableau technique.
Reviewer: M.Baake
MSC:
17A70 | Superalgebras |
17B10 | Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) |
Citations:
Zbl 0573.17003References:
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