56 citations · 329 across the 50 of their papers we have counts for
61 papers
Around the center
Maria Gorelik, Vladimir Hinich, Vera Serganova
The center of a semisimple Lie algebra can be described as the algebra of W-invariant functions on the dual of the Cartan subalgebra. The centers of many Lie superalgebras have a s…
Special modules over Jordan algebras
Iryna Kashuba, Vera Serganova
In this paper we study special representations of finite-dimensional Jordan algebra whose . For each Jordan algebra of this class we consider its Tits-Kantor-Koe…
On the Jucys-Murphy method and fusion procedure for the Sergeev superalgebra
Iryna Kashuba, Alexander Molev, Vera Serganova
We use the Jucys-Murphy elements to construct a complete set of primitive idempotents for the Sergeev superalgebra . We produce seminormal forms for the simple modu…
Restriction Theorems and Root Systems for Symmetric Superspaces
Shifra Reif, Siddhartha Sahi, Vera Serganova
In this paper we consider those involutions of a finite-dimensional Kac-Moody Lie superalgebra , with associated decomposition $\mathfrak g=\mathfrak k\oplus\mathf…
On representations of the Lie superalgebra p(n)
Vera Serganova
We introduce a new way to study representations of the Lie superalgebra . Since the center of the universal enveloping algebra acts trivially on all irreducible represent…
Matsumoto theorem for skeleta
Maria Gorelik, Vladimir Hinich, Vera Serganova
We present a proof of a generalization of the theorem of H.~Matsumoto on Coxeter groups. Our generalized version is applicable to "graphs admitting geometric realization". The orig…