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• W2024611952 abstract "We establish a direct connection between the representation theories of Lie algebras and Lie superalgebras (of type A) via Fock space reformulations of their Kazhdan-Lusztig theories. As a consequence, the characters of finite-dimensional irreducible modules of the general linear Lie superalgebra are computed by the usual parabolic Kazhdan-Lusztig polynomials of type A. In addition, we establish closed formulas for canonical and dual canonical bases for the tensor product of any two fundamental representations of type A." @default.
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• W2024611952 date "2008-06-26" @default.
• W2024611952 modified "2023-10-16" @default.
• W2024611952 title "Super duality and Kazhdan-Lusztig polynomials" @default.
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• W2024611952 doi "https://doi.org/10.1090/s0002-9947-08-04447-4" @default.
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