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math.RT2010
Super duality and homology of unitarizable modules of Lie algebras
Po-Yi Huang, Ngau Lam, Tze-Ming To
The u-homology formulas for unitarizable modules at negative levels over classical Lie algebras of infinite rank of types gl(n), sp(2n) and so(2n) are obtained. As a consequence, w…
math.RT2008★ 22 cited
A BGG-type resolution for tensor modules over general linear superalgebra
Shun-Jen Cheng, Jae-Hoon Kwon, Ngau Lam
We construct a Bernstein-Gelfand-Gelfand type resolution in terms of direct sums of Kac modules for the finite-dimensional irreducible tensor representations of the general linear…