9 citations · 17 across the 7 of their papers we have counts for
8 papers
Torsion theories induced from commutative subalgebras
Vyacheslav Futorny, Serge Ovsienko, Manuel Saorin
We begin a study of torsion theories for representations of an important class of associative algebras over a field which includes all finite W-algebras of type A, in particular th…
Gelfand-Kirillov Conjecture and Harish-Chandra Modules for Finite W-Algebras
Vyacheslav Futorny, Alexander Molev, Serge Ovsienko
We address two problems regarding the structure and representation theory of finite W-algebras associated with the general linear Lie algebras. Finite W-algebras can be defined eit…
Gelfand-Tsetlin bases for representations of finite W-algebras and shifted Yangians
V. Futorny, A. Molev, S. Ovsienko
Remarkable subalgebras of the Yangian for gl_n called the shifted Yangians were introduced in a recent work by Brundan and Kleshchev in relation to their study of finite W-algebras…
Fibers of characters in Harish-Chandra categories
Vyacheslav Futorny, Serge Ovsienko
We solve the problem of extension of characters of commutative subalgebras in associative (noncommutative) algebras for a class of subrings (Galois orders) in skew group rings. The…
Galois orders
Vyacheslav Futorny, Serge Ovsienko
We introduce and develop a structure theory of a new class of noncommutative rings - Galois orders, that generalize classical orders in noncommutative rings. Galois orders realized…
A pairing in homology and the category of linear complexes of tilting modules for a quasi-hereditary algebra
Volodymyr Mazorchuk, Serge Ovsienko
We show that there exists a natural non-degenerate pairing of the homomorphism space between two neighbor standard modules over a quasi-hereditary algebra with the first extension…