Classification of simple Harish-Chandra modules for basic classical map superalgebras
Lucas Calixto,
Vyacheslav Futorny,
Henrique Rocha
Abstract:We obtain a classification of simple modules with finite weight multiplicities over basic classical map superalgebras. Any such module is parabolic induced from a simple cuspidal bounded module over a cuspidal map superalgebra. Further on, any simple cuspidal bounded module is isomorphic to an evaluation module. As an application, we obtain a classification of all simple Harish-Chandra modules for basic classical loop superalgebras. Extending these results to affine Kac-Moody Lie superalgebras obtained by addi… Show more
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