Abstract
LetS be a simple Lie algebra of characteristic 0 and Λ(n) be the Grassmann superalgebra inn indeterminates. We can form the Lie superalgebraS ⊗ Λ(n). The purpose of this paper is to classify all finite dimensional irreducible representations of all central extensions ofS ⊗ Λ(n). We will also give a character formula for these representations.
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Communicated by H. Araki
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Cheng, SJ. Representations of central extensions of differentiably simple lie superalgebras. Commun.Math. Phys. 154, 555–568 (1993). https://doi.org/10.1007/BF02102108
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DOI: https://doi.org/10.1007/BF02102108