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math.RT2008★ 12 cited
Howe duality and Kostant Homology Formula for infinite-dimensional Lie superalgebras
Shun-Jen Cheng, Jae-Hoon Kwon
Using Howe duality we compute explicitly Kostant-type homology groups for a wide class of representations of the infinite-dimensional Lie superalgebra $\hat{\frak{gl}}_{\infty|\inf…
math.RT2007★ 2 cited
Brundan-Kazhdan-Lusztig and super duality conjectures
Shun-Jen Cheng, Weiqiang Wang
We formulate a general super duality conjecture on connections between parabolic categories O of modules over Lie superalgebras and Lie algebras of type A, based on a Fock space fo…