Vyacheslav Futorny

Southern University of Science and Technology — China

Mathematics · Physical Sciences

23h-index1.9kcitations276works0.12yr avg
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Research Topics

Algebraic structures and combinatorial models(217), Advanced Topics in Algebra(214), Advanced Algebra and Geometry(90), Nonlinear Waves and Solitons(74), Matrix Theory and Algorithms(24)

Publications276 total

Dimension growth and Gelfand-Kirillov dimension of representations of quantum groups
arXiv (Cornell University)·2025Open Access
Smooth representations of affine Kac-Moody algebras
Advances in Mathematics·2025
Gelfand-Tsetlin Modules for Lie Algebras of Rank 2
European Journal of Pure and Applied Mathematics·2025Open Access
Galois Rings, Coulomb branches and the Gelfand-Kirillov Conjecture
ArXiv.org·2025Open Access
Harish-Chandra modules for map and affine Lie superalgebras
Israel Journal of Mathematics·2025· 1 cited
Orthogonalization and polarization of Yangians
arXiv (Cornell University)·2025Open Access
Representations of Hamiltonian Lie algebras
arXiv (Cornell University)·2025Open Access
Superelliptic Affine Lie algebras and orthogonal polynomials
Forum of Mathematics Sigma·2025Open Access
Explicit realization of bounded modules for symplectic Lie algebras: spinor versus oscillator
arXiv (Cornell University)·2024Open Access
Drinfeld Realization for quantum affine superalgebras of type $B$
arXiv (Cornell University)·2024· 1 citedOpen Access
Smooth representations of affine Kac-Moody algebras
arXiv (Cornell University)·2024Open Access
Generalized Grothendieck's simultaneous resolution and associated varieties of simple affine vertex algebras
arXiv (Cornell University)·2024Open Access
Superelliptic Affine Lie algebras and orthogonal polynomials
arXiv (Cornell University)·2024Open Access
Gelfand-Tsetlin modules for Lie algebras of rank $2$
arXiv (Cornell University)·2024Open Access
On two constructions of Gelfand-Tsetlin modules with arbitrary characters
Proceedings of symposia in pure mathematics·2024
Universal central extensions of Krichever-Novikov algebras and orthogonal polynomials
Proceedings of symposia in pure mathematics·2024
Corrigendum to “Matrix stretching”
Open Mathematics·2024Open Access
Matrix stretching
Open Mathematics·2024Open Access
Representations of Smith algebras which are free over the Cartan subalgebra
Journal of Algebra·2023Open Access
A Jordan-Schwinger variant of the spectral theorem for linear operators
Journal of Mathematical Analysis and Applications·2023Open Access
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Frequent Co-authors

Serge Ovsienko(7), Vladimir V. Sergeichuk(7), Volodymyr Mazorchuk(6), Yuly Billig(5), Andrii Dmytryshyn(4), Ben Cox(4), Dimitar Grantcharov(3), Alexander Molev(3), Jonas T. Hartwig(3), Yuriy Drozd(2), Luis Enrique Ramírez(2), Tetiana Klymchuk(2), Steffen König(2), Andrew Tsylke(1), Sergio König(1), В. М. Бондаренко(1), Tatiana Klimchuk(1), Kostyantyn Yusenko(1), Bo Kågström(1), Lena Klimenko(1)