Finite-dimensional representations of the special linear Lie superalgebra sl(1,n). II. Nontypical representations

Palev, Tchavdar D.
December 1988
Journal of Mathematical Physics;Dec88, Vol. 29 Issue 12, p2589
Academic Journal
All nontypical irreducible representations of the special linear Lie superalgebra sl (1,n) are constructed for any n. 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 [J. Math. Phys. 28, 2280 (1987)] solve the problem of the finite-dimensional irreducible representations of sl(1,n).


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