V
Vyacheslav Futorny
Researcher at University of São Paulo
Publications - 228
Citations - 2116
Vyacheslav Futorny is an academic researcher from University of São Paulo. The author has contributed to research in topics: Verma module & Lie algebra. The author has an hindex of 23, co-authored 222 publications receiving 1865 citations. Previous affiliations of Vyacheslav Futorny include Taras Shevchenko National University of Kyiv & Max Planck Society.
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Book ChapterDOI
Harish-Chandra Subalgebras and Gelfand-Zetlin Modules
TL;DR: In this article, a new framework for the study of modules over algebras is elaborated and applied to a new class of representations of Lie algebra GL(n), which is a special case of the class of Lie algebases described in this paper.
Journal ArticleDOI
Imaginary Verma Modules for Affine Lie Algebras
TL;DR: In this paper, a class of irreducible modules for Affine Lie algebras which possess weight spaces of both finite and infinite dimensions was studied, and these modules appeared as the quotients of "imaginary Verma modules" induced from the "imaginal Borel subalgebra".
Journal ArticleDOI
Galois orders in skew monoid rings
TL;DR: Galois orders as discussed by the authors generalize classical orders in non-commutative rings and contain many important examples, such as the Generalized Weyl algebras, the universal enveloping algebra of the general linear Lie algebra, associated Yangians and finite W -algesas.
Journal ArticleDOI
Fibers of characters in Gelfand-Tsetlin categories
TL;DR: For a class of non-commutative rings, called Galois orders, this article showed that the problem of character extension from a commutative subalgebra is solvable in finitely many ways up to isomorphism.