Structure of atypical representations of the Lie superalgebras sl(m/n)
- 11 March 1987
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (4) , 809-824
- https://doi.org/10.1088/0305-4470/20/4/017
Abstract
In contrast to Lie algebras, Lie superalgebras contain typical and atypical irreducible representations. Character formulae for typical representations of classical Lie superalgebras have been known for a long time, but the structure of atypical representations remained unsolved. The author constructs the character formula for atypical representations of the special linear Lie superalgebras sl(m/n).Keywords
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