14 citations · 32 across the 15 of their papers we have counts for
20 papers
Universal Capelli identities and quantum immanants for the queer Lie superalgebra
Iryna Kashuba, Alexander Molev
We apply the recently introduced idempotents for the Sergeev superalgebra to construct quantum immanants for the queer Lie superalgebra as central elements of its…
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…
Drinfeld Realization for Quantum Affine Orthosymplectic Superalgebras
Luan Bezerra, Vyacheslav Futorny, Iryna Kashuba
A well-defined braid groupoid action is an essential tool for constructing the new Drinfeld realization of a quantum affine superalgebra. For quantum affine orthosymplectic superal…
The three graces in the Tits--Kantor--Koecher category
Vladimir Dotsenko, Iryna Kashuba
A metaphor of Loday describes Lie, associative, and commutative associative algebras as ``the three graces'' of the operad theory. In this article, we study the three graces in the…
A moment map for the variety of Jordan algebras
Claudio Gorodski, Iryna Kashuba, María Eugenia Martin
We study the variety of complex -dimensional Jordan algebras using techniques from Geometric Invariant Theory.