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arXiv · 0911.0129

Super duality and irreducible characters of ortho-symplectic Lie superalgebras

Shun-Jen Cheng·Ngau Lam·Weiqiang Wang
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Abstract

We formulate and establish a super duality which connects parabolic categories $O$ between the ortho-symplectic Lie superalgebras and classical Lie algebras of $BCD$ types. This provides a complete and conceptual solution of the irreducible character problem for the ortho-symplectic Lie superalgebras in a parabolic category $O$, which includes all finite-dimensional irreducible modules, in terms of classical Kazhdan-Lusztig polynomials.

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Shun-Jen Cheng, Ngau Lam, Weiqiang Wang. 2010-08-10. Super duality and irreducible characters of ortho-symplectic Lie superalgebras. https://doi.org/10.1007/s00222-010-0277-4

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