Search Results - "Futorny, Vyacheslav"

Representations of Lie algebras by Futorny, Vyacheslav

“…Most significant contributions to the Representation Theory of Lie algebras by the members of the research group of IME-USP and their collaborators are…”
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Positive Energy Representations of Affine Vertex Algebras by Futorny, Vyacheslav, Křižka, Libor

“…We construct new families of positive energy representations of affine vertex algebras together with their free field realizations by using localization…”
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Weight Representations of Admissible Affine Vertex Algebras by Arakawa, Tomoyuki, Futorny, Vyacheslav, Ramirez, Luis Enrique

“…For an admissible affine vertex algebra V k ( g ) of type A , we describe a new family of relaxed highest weight representations of V k ( g ) . They are simple…”
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A Poisson algebra on the Hida Test functions and a quantization using the Cuntz algebra by Bock, Wolfgang, Futorny, Vyacheslav, Neklyudov, Mikhail

“…In this note, we define one more way of quantization of classical systems. The quantization we consider is an analogue of classical Jordan–Schwinger map which…”
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Fibers of characters in Gelfand-Tsetlin categories by FUTORNY, VYACHESLAV, OVSIENKO, SERGE

“…For a class of noncommutative rings, called Galois orders, we study the problem of an extension of characters from a commutative subalgebra. We show that for…”
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Noncommutative Noether’s problem vs classic Noether’s problem by Futorny, Vyacheslav, Schwarz, João

“…We prove that if two complex affine irreducible varieties are birational (that is their coordinate rings have isomorphic fields of fractions) then their rings…”
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Matrix stretching by Futorny, Vyacheslav, Neklyudov, Mikhail, Zhao, Kaiming

“…We consider the tensor products of square matrices of different sizes and introduce the stretching maps, which can be viewed as a generalized matricization…”
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Corrigendum to “Matrix stretching” by Futorny, Vyacheslav, Neklyudov, Mikhail, Zhao, Kaiming

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Gelfand-Tsetlin theory for rational Galois algebras by Futorny, Vyacheslav, Grantcharov, Dimitar, Ramirez, Luis Enrique, Zadunaisky, Pablo

“…In the present paper we study Gelfand-Tsetlin modules defined in terms of BGG differential operators. The structure of these modules is described with the aid…”
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Positive Energy Representations of Affine Vertex Algebras by Futorny, Vyacheslav, Křižka, Libor

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Representations of the Lie algebra of vector fields on a torus and the chiral de Rham complex by BILLIG, YULY, FUTORNY, VYACHESLAV

“…>, introduced by Malikov-Schechtman-Vaintrob (1999).]]>…”
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Weight modules over infinite dimensional Weyl algebras by FUTORNY, VYACHESLAV, GRANTCHAROV, DIMITAR, MAZORCHUK, VOLODYMYR

“…We classify simple weight modules over infinite dimensional Weyl algebras and realize them using the action on certain localizations of the polynomial ring. We…”
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Classification of simple Gelfand–Tsetlin modules of (3) by Futorny, Vyacheslav, Grantcharov, Dimitar, Ramirez, Luis Enrique

“…We provide a classification and an explicit realization of all simple Gelfand–Tsetlin modules of the complex Lie algebra ( 3 ) . The realization of these…”
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Noncommutative Noether's problem for complex reflection groups by ESHMATOV, FARKHOD, FUTORNY, VYACHESLAV, OVSIENKO, SERGIY, SCHWARZ, JOAO FERNANDO

“…We solve some noncommutative analogue of the Noether's problem for the reflection groups by showing that the skew field of fractions of the invariant…”
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Generalized Verma Modules over Uq(𝖘𝖑n(ℂ)) by Futorny, Vyacheslav, Křižka, Libor, Zhang, Jian

“…We construct realizations of quantum generalized Verma modules for U q ( s l n ( ℂ ) ) by quantum differential operators. Taking the classical limit q → 1…”
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On the consistency of twisted generalized Weyl algebras by FUTORNY, VYACHESLAV, HARTWIG, JONAS T.

“…A twisted generalized Weyl algebra A depends on a base algebra R commuting automorphisms \sigma _i, n of R In a paper by Mazorchuk and Turowska, it is claimed…”
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DJKM algebras I: Their universal central extension by COX, BEN, FUTORNY, VYACHESLAV

“…The purpose of this paper is to explicitly describe in terms of generators and relations the universal central extension of the infinite dimensional Lie…”
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Three Representation Types for Systems of Forms and Linear Maps by Alazemi, Abdullah, Anđelić, Milica, da Fonseca, Carlos M., Futorny, Vyacheslav, Sergeichuk, Vladimir V.

“…We consider systems of bilinear forms and linear maps as representations of a graph with undirected and directed edges. Its vertices represent vector spaces;…”
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Integrable modules for affine Lie superalgebras by Rao, Senapathi Eswara, Futorny, Vyacheslav

“…Irreducible nonzero level modules with finite-dimensional weight spaces are discussed for nontwisted affine Lie superalgebras. A complete classification of…”
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Induced Modules for Affine Lie Algebras by Futorny, Vyacheslav

“…We study induced modules of nonzero central charge with arbitrary multiplicities over affine Lie algebras. For a given pseudo parabolic subalgebra P of an…”
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