19 citations · 62 across the 16 of their papers we have counts for
16 papers
Representations of principal -algebra for the superalgebra and the super Yangian
Elena Poletaeva, Vera Serganova
We classify irreducible representations of finite -algebra of the queer Lie superalgebra associated with the principal nilpotent coadjoint orbits. We use this classificat…
On the finite -algebra for the Lie superalgebra Q(N) in the non-regular case
Elena Poletaeva, Vera Serganova
In this paper we study the finite W-algebra for the queer Lie superalgebra Q(n) associated with the non-regular even nilpotent coadjoint orbits in the case when the corresponding n…
On Kostant's theorem for the Lie superalgebra Q(n)
Elena Poletaeva, Vera Serganova
In this paper we study finite W-algebras for basic classical superalgebras and Q(n) associated to the regular even nilpotent coadjoint orbits. We prove that this algebra satisfies…
On cohomology of the Lie superalgebra D(2, 1 ; α)
Elena Poletaeva
We describe the infinitesimal deformations of the standard embedding of the Lie superalgebra into the Poisson superalgebra of pseudodifferential symbols on .…
On matrix realizations of the Lie superalgebra D(2, 1 ; α)
Elena Poletaeva
We obtain a realization of the Lie superalgebra in differential operators on the supercircle and in matrices over a Weyl algebra. A contraction…
Matrix realizations of exceptional superconformal algebras
Elena Poletaeva
We give a general construction of realizations of the contact superconformal algebras and , and the exceptional superconformal algebra as subsuperalgebra…