A character formula for infinite dimensional representations of the type i superalgebras sl(m/n) and c(2) |
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| Authors: | H Shakibi |
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| Institution: | Department of Mathematics , Queen Mary and Westfield College , Mile End Road, London, E1 4NS, UKc/o A. Cook |
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| Abstract: | Infinite dimensional representations of Type I Lie superalgebra sl(m/n) for which the highest weight is singly or multiply and diagonally atypical are shown to have a character formula which is a modified version of the Bernstein-Leites character formula. This formula is also shown to be valid for all infinite dimensional representations of the Lie superalgebra C(2) classified according to the atypicality type of the highest weight A |
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