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arXiv · 1001.0074

Dualities for Lie superalgebras

Shun-Jen Cheng·Weiqiang Wang
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Abstract

We explain how Lie superalgebras of types gl and osp provide a natural framework generalizing the classical Schur and Howe dualities. This exposition includes a discussion of super duality, which connects the parabolic categories O between classical Lie superalgebras and Lie algebras. Super duality provides a conceptual solution to the irreducible character problem for these Lie superalgebras in terms of the classical Kazhdan-Lusztig polynomials.

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Shun-Jen Cheng, Weiqiang Wang. 2010-03-07. Dualities for Lie superalgebras. https://arxiv.org/abs/1001.0074

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