Howe Duality and Kostant Homology Formula for Infinite-dimensional Lie Superalgebras
نویسنده
چکیده
Using Howe duality we compute explicitly Kostant-type homology groups for a wide class of representations of the infinite-dimensional Lie superalgebra b gl∞|∞ and its classical subalgebras at positive integral levels. We also obtain Kostant-type homology formulas for the Lie algebra b gl∞ at negative integral levels. We further construct resolutions in terms of generalized Verma modules for these representations.
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