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Palev, Tchavdar D.

Finite-dimensional representations of the Lie superalgebra sl(1,3) in a Gel’fand-Zetlin basis. II: Nontypical representations. (English) Zbl 0614.17003

J. Math. Phys. 28, 272-291 (1987).
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)

Keywords:

nontypical representations; special linear Lie superalgebra; Gel’fand- Zetlin basis

Citations:

Zbl 0573.17003
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Full Text: DOI

References:

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