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List of works by Vyacheslav Futorny

An imaginary PBW basis for quantum affine algebras of type 1

scholarly article by Ben Cox et al published January 2015 in Journal of Pure and Applied Algebra

Classification of irreducible representations of Lie algebra of vector fields on a torus

scientific article published in 2016

Explicit construction of irreducible modules for Uq(gln) ⬇️

scientific article from 'São Paulo Journal of Mathematical Sciences', issue date June 2019

Free field realizations of the elliptic affine Lie algebra <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si29.gif" display="inline" overflow="scroll"><mml:mi mathvariant="fraktur">s</mml:mi><mml:mi mathvariant="fraktur">l</mml:mi>

scientific article published in 2009

Gelfand–Tsetlin modules of quantum gln defined by admissible sets of relations ⬇️

scholarly article

Harish-Chandra categories and Kostant's theorem ⬇️

scientific article from 'Resenhas do Instituto de Matemática e Estatística da Universidade de São Paulo'

Imaginary Verma modules and Kashiwara algebras for U q ( g ˆ )

scholarly article by Ben Cox et al published February 2015 in Journal of Algebra

Imaginary Verma modules forUq(sl(2)ˆ)and crystal-like bases

Indecomposable generalized weight modules over the algebra of polynomial integro-differential operators ⬇️

scholarly article

Irreducible subquotients of generic Gelfand–Tsetlin modules over Uq(gln) ⬇️

scholarly article

Lie algebras of vector fields on smooth affine varieties ⬇️

scholarly article

New families of irreducible weight modules over sl3 ⬇️

scholarly article

New irreducible modules for Heisenberg and affine Lie algebras

scientific article published in 2013

Representations of Lie algebras ⬇️

scientific article (published in 2022)

Representations of affine Lie superalgebras and their quantization in type A

scientific article published in 2022

Representations of the Lie algebra of vector fields on a torus and the chiral de Rham complex

scientific article published in 2014

Structure of parabolically induced modules for affine Kac-Moody algebras ⬇️

scholarly article

Wildness for tensors

scientific article published in 2019

Wildness of the problems of classifying two-dimensional spaces of commuting linear operators and certain Lie algebras ⬇️

scholarly article

Workshop on geometry in algebra and algebra in geometry

editorial note from 'São Paulo Journal of Mathematical Sciences' published in 2021

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