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math.RT2011
Bernstein-Gel'fand-Gel'fand reciprocity and indecomposable projective modules for classical algebraic supergroups
Caroline Gruson, Vera Serganova
We prove a BGG type reciprocity law for the category of finite dimensional modules over algebraic supergroups satisfying certain conditions. The equivalent of a standard module in…
math.RT2011★ 10 cited
A Koszul category of representations of finitary Lie algebras
Elizabeth Dan-Cohen, Ivan Penkov, Vera Serganova
We find for each simple finitary Lie algebra a category of integrable modules in which the tensor product of copies of the natural and cona…
math.RT2011★ 4 cited
Combinatorics of Character Formulas for the Lie Superalgebra $\fgl(m,n).$
Ian M. Musson, Vera V. Serganova
Let $\fg$ be the Lie superalgebra $\fgl(m,n).$ Algorithms for computing the composition factors and multiplicities of Kac modules for $\fg$ were given by the second author in 1996,…