Publications (68)
Irreducible subquotients of generic gelfand-tsetlin modules over uq(gl(n))
Vyacheslav Futorny, Enrique Ramirez, Jian Zhang
Multiparameter Twisted Weyl Algebras
Vyacheslav Futorny, Jonas T. Hartwig
Torsion theories induced from commutative subalgebras
Vyacheslav Futorny, Serge Ovsienko, Manuel Saorin
Representations of D_q(k [x])
Vyacheslav Futorny, Uma Iyer
Virasoro action on Imaginary Verma modules and the operator form of the KZ-equation
Ben Cox, Vyacheslav Futorny, Renato Martins
Gelfand-Kirillov Conjecture and Harish-Chandra Modules for Finite W-Algebras
Vyacheslav Futorny, Alexander Molev, Serge Ovsienko
Classification of sesquilinear forms with the first argument on a subspace or a factor space
Vyacheslav Futorny, Vladimir V. Sergeichuk
Irreducible Generic Gelfand-Tsetlin Modules of $\mathfrak{gl}(n)$
Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramirez
Singular Gelfand-Tsetlin modules of $\mathfrak{gl}(n)$
Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramirez
Regularizing decompositions for matrix pencils and a topological classification of pairs of linear mappings
Vyacheslav Futorny, Tetiana Rybalkina, Vladimir V. Sergeichuk
Structure of Intermediate Wakimoto Modules
Ben L. Cox, Vyacheslav Futorny
Cycles of linear and semilinear mappings
Debora Duarte de Oliveira, Vyacheslav Futorny, Tatiana Klimchuk +2
Representations of Lie algebra of vector fields on a torus and chiral de Rham complex
Yuly Billig, Vyacheslav Futorny
Fibers of characters in Harish-Chandra categories
Vyacheslav Futorny, Serge Ovsienko
Representations of Lie algebras of vector fields on affine varieties
Yuly Billig, Vyacheslav Futorny, Jonathan Nilsson
Systems of subspaces of a unitary space
Vitalij M. Bondarenko, Vyacheslav Futorny, Tatiana Klimchuk +2
Representations of Loop Kac-Moody Lie Algebras
S. Eswara Rao, Vyacheslav Futorny
Classification of squared normal operators on unitary and Euclidean spaces
Vyacheslav Futorny, Roger A. Horn, Vladimir V. Sergeichuk
Change of the congruence canonical form of 2-by-2 and 3-by-3 matrices under perturbations and bundles of matrices under congruence
Andrii Dmytryshyn, Vyacheslav Futorny, Bo Kågström +2
Criterion of unitary similarity for upper triangular matrices in general position
Douglas Farenick, Vyacheslav Futorny, Tatiana G. Gerasimova +2
Miniversal deformations of matrices of bilinear forms
Andrii R. Dmytryshyn, Vyacheslav Futorny, Vladimir V. Sergeichuk
Specht's criterion for systems of linear mappings
Vyacheslav Futorny, Roger A. Horn, Vladimir V. Sergeichuk
Classification of simple $W_n$-modules with finite-dimensional weight spaces
Yuly Billig, Vyacheslav Futorny
On Moduli Spaces for Abelian Categories
Vyacheslav Futorny, Marcos Jardim, Adriano Moura
Intermediate Wakimoto modules for Affine sl(n+1)
Ben Cox, Vyacheslav Futorny
Quantization of the shift of argument subalgebras in type A
Vyacheslav Futorny, Alexander Molev
A canonical form for nonderogatory matrices under unitary similarity
Vyacheslav Futorny, Roger A. Horn, Vladimir V. Sergeichuk
Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms
Vyacheslav Futorny, Roger A. Horn, Vladimir V. Sergeichuk
Imaginary Verma Modules for $U_q(\widehat{\mathfrak{sl}(2)})$ and Crystal-like bases
Ben Cox, Vyacheslav Futorny, Kailash Misra
Roth's solvability criteria for the matrix equations ${AX-\widehat XB=C}$ and ${X-A\widehat{X}B=C}$ over the skew field of quaternions with an involutive automorphism $q\mapsto \hat q$
Vyacheslav Futorny, Tetiana Klymchuk, Vladimir V. Sergeichuk
Commutative algebras in Drinfeld categories of abelian Lie algebras
Alexei Davydov, Vyacheslav Futorny
Weight modules over infinite dimensional Weyl algebras
Vyacheslav Futorny, Dimitar Grantcharov, Volodymyr Mazorchuk
Tilting, deformations and representations of linear groups over Euclidean algebras
Viktor Bekkert, Yuriy Drozd, Vyacheslav Futorny
Galois orders
Vyacheslav Futorny, Serge Ovsienko
Kostant theorem for special filtered algebras
Vyacheslav Futorny, Serge Ovsienko
Drinfeld category and the classification of singular Gelfand-Tsetlin gl_n-modules
Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramirez
Topological classification of systems of bilinear and sesquilinear forms
Carlos M. da Fonseca, Vyacheslav Futorny, Tetiana Rybalkina +1
DJKM algebras and non-classical orthogonal polynomials
Ben Cox, Vyacheslav Futorny, Juan A. Tirao
Noncommutative Noether's problem for complex reflection groups
Farkhod Eshmatov, Vyacheslav Futorny, Sergiy Ovsienko +1
Free Field Realizations of the Elliptic Affine Lie Algebra sl(2,R)+Ω_R/dR
Andre Bueno, Ben Cox, Vyacheslav Futorny
Rings of invariants of finite groups when the bad primes exist
Volodymyr Bavula, Vyacheslav Futorny
Classification of simple cuspidal modules for solenoidal Lie algebras
Yuly Billig, Vyacheslav Futorny
Explicit construction of irreducible modules for U_q(gl_n)
Vyacheslav Futorny, Luis Enrique Ramirez, Jian Zhang
Weyl algebra modules
Viktor Bekkert, Georgia Benkart, Vyacheslav Futorny
Derived categories of Schur algebras
Viktor Bekkert, Vyacheslav Futorny
Parabolic sets of roots
Ivan Dimitrov, Vyacheslav Futorny, Dimitar Grantcharov
Derived tame local and two-point algebras
Viktor Bekkert, Yuriy Drozd, Vyacheslav Futorny
Geometric realizations of affine Kac-Moody algebras
Vyacheslav Futorny, Libor KÅižka, Petr Somberg
Gelfand-Tsetlin modules of quantum gl_n$defined by admissible sets of relations
Vyacheslav Futorny, Luis Enrique Ramirez, Jian Zhang
Generalization of Roth's solvability criteria to systems of matrix equations
Andrii Dmytryshyn, Vyacheslav Futorny, Tetiana Klymchuk +1
New Irreducible Modules for Heisenberg and Affine Lie Algebras
Viktor Bekkert, Georgia Benkart, Vyacheslav Futorny +1
Weight representations of admissible affine vertex algebras
Tomoyuki Arakawa, Vyacheslav Futorny, Luis Enrique Ramirez
Wildness of the problems of classifying two-dimensional spaces of commuting linear operators and certain Lie algebras
Vyacheslav Futorny, Tetiana Klymchuk, Anatolii P. Petravchuk +1
Change of the *congruence canonical form of 2-by-2 matrices under perturbations
Vyacheslav Futorny, Lena Klimenko, Vladimir V. Sergeichuk
Positivity criteria generalizing the leading principal minors criterion
Vyacheslav Futorny, Vladimir V. Sergeichuk, Nadya Zharko
Harish-Chandra modules for Yangians
Vyacheslav Futorny, Alexander Molev, Serge Ovsienko
Imaginary Verma modules and Kashiwara algebras for $U_q(\widehat{\mathfrak{sl}(2)})$
Ben Cox, Vyacheslav Futorny, Kailash C. Misra
Automorphisms and Ideals of Noncommutative Deformations of $\mathbb{C}^2/\mathbb{Z}_2$
Xiaojun Chen, Alimjon Eshmatov, Farkhod Eshmatov +1
An imaginary PBW basis for quantum affine algebras of type 1
Ben Cox, Vyacheslav Futorny, Kailash C. Misra
Indecomposable generalized weight modules over the algebra of polynomial integro-differential operators
Vladimir Bavula, Victor Bekkert, Vyacheslav Futorny
Induced Modules for Affine Lie Algebras
Vyacheslav Futorny, Iryna Kashuba
Localization of free field realizations of affine Lie algebras
Vyacheslav Futorny, Dimitar Grantcharov, Renato A. Martins
Twisted Weyl algebras, crossed products, and representations
Vyacheslav Futorny, Jonas T. Hartwig
Representations of posets: Linear versus Unitary
Vyacheslav Futorny, Yurii Samoilenko, Kostyantyn Yusenko
Kashiwara Algebras and Imaginary Verma Modules for $U_q(\hat{\mathfrak{g}})$
Ben Cox, Vyacheslav Futorny, Kailash C. Misra
Free field realizations of the Date-Jimbo-Kashiwara-Miwa algebra
Ben Cox, Vyacheslav Futorny, Renato Alessandro Martins
New singular Gelfand-Tsetlin $\mathfrak{gl} (n)$-modules of index 2
Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramirez
Integrable modules for affine Lie superalgebras
S. Eswara Rao, Vyacheslav Futorny