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Super duality and homology of unitarizable modules of Lie algebras
Super duality homology of unitarizable modules of Lie algebras
2011/1/18
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, we recover the Enright...
Finite $W$-superalgebras for queer Lie superalgebras and higher Sergeev duality
Finite $W$-superalgebras queer Lie superalgebras higher Sergeev duality
2011/1/20
We initiate and develop the theory of finite W-superalgebras W associated to the queer Lie superalgebra g = q(N) and a nilpotent linear func-tional ∈ g ¯0 . We show that the definition of th...