Finite dimensional representations of the Lie superalgebra SL(1,3) in a Gelfand-Zetlin basis. 2. Nontypical representations
Oct, 198520 pages
Published in:
- J.Math.Phys. 28 (1987) 272-291
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Abstract: (AIP)
All nontypical irreducible representations of the special linear Lie superalgebra sl(1,3) are considered. Explicit expressions for the transformation of the basis under the action of the generators are given. The results of this paper together with those obtained in Paper I [T. D. Palev, J. Math. Phys. 2 6, 1640 (1985)] solve the problem of the finite‐dimensional irreducible representations of sl(1,3). The results are compared with those obtained by the Young supertableau technique. A mapping of the supertableau basis on the Gel’fand–Zetlin basis is given.References(14)
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