41 citations · 548 across the 118 of their papers we have counts for
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Explicit realization of bounded modules for symplectic Lie algebras: spinor versus oscillator
Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramirez +1
We provide an explicit combinatorial realization of all simple and injective (hence, and projective) modules in the category of bounded -modules. This realizatio…
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…
Smooth representations of affine Kac-Moody algebras
Vyacheslav Futorny, Xiangqian Guo, Yaohui Xue +1
Smooth modules for affine Kac-Moody algebras have a prime importance for the quantum field theory as they correspond to the representations of the universal affine vertex algebras.…
Generalized Grothendieck's simultaneous resolution and associated varieties of simple affine vertex algebras
Tomoyuki Arakawa, Vyacheslav Futorny, Libor Krizka
The closure of a Diximier sheet is the image of a generalized Grothendieck's simultaneous resolution. We show that the associated variety of simple affine vertex algebras is contai…
Superelliptic Affine Lie algebras and orthogonal polynomials
Felipe Albino dos Santos, Mikhail Neklyudov, Vyacheslav Futorny
We construct two families of orthogonal polynomials associated with the universal central extensions of the superelliptic Lie algebras. These polynomials satisfy certain fourth ord…
Gelfand-Tsetlin modules for Lie algebras of rank
Milica Anđelić, Carlos M. da Fonseca, Vyacheslav Futorny +1
We explicitly construct families of simple modules for Lie algebras of rank , on which certain commutative subalgebra acts diagonally and has a simple spectrum. In type thes…