3 papers
math.RT2000
Strongly typical representations of the basic classical Lie superalgebras
Maria Gorelik
The category of representations with a strongly typical central character of a basic classical Lie superalgebra is proven to be equivalent to the category of representations of its…
math.RA2000
Annihilation Theorem and Separation Theorem for basic classical Lie superalgebras
Maria Gorelik
In this article we prove that for a basic classical Lie superalgebra the annihilator of a strongly typical Verma module is a centrally generated ideal. For a basic classical Lie su…
math.RT1999
On the Ghost Centre of Lie Superalgebras
Maria Gorelik
We define a notion of ghost centre of a Lie superalgebra g=g_0+g_1 which is a sum of invariants with respect to the usual adjoint action (centre) and invariants with respect to a t…