A conjectured character formula for atypical irreducible modules of the Lie superalgebra sl(m/n)
- 11 November 1987
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (16) , L1047-L1052
- https://doi.org/10.1088/0305-4470/20/16/002
Abstract
A formula is used for the character of each finite-dimensional irreducible representation of the Lie superalgebra sl(m/n). This new formula appears to cover not only typical but also both singly and multiply atypical representations. A comparison is made with previous conjectures, and the problem of generalising the formula to cover all of the basic classical Lie superalgebras is discussed.Keywords
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