9 citations · 9 across the 5 of their papers we have counts for
6 papers
Quantum toric degeneration of quantum flag and Schubert varieties
Laurent Rigal, Pablo Zadunaisky
We show that certain homological regularity properties of graded connected algebras, such as being AS-Gorenstein or AS-Cohen-Macaulay, can be tested by passing to associated graded…
Bounds of Gelfand-Tsetlin multiplicities and tableaux realizations of Verma modules
Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramirez +1
We introduce the notion of essential support of a simple Gelfand-Tsetlin -module as an important tool towards understanding the character formula of such module. T…
Gelfand-Tsetlin Theory for Rational Galois Algebras
Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramírez +1
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 of the Postnikov-Stan…
A new way to construct 1-singular Gelfand-Tsetlin modules
Pablo Zadunaisky
We present a simplified way to construct the Gelfand-Tsetlin modules over related to a -singular GT-tableau defined by Futorny, Grantcharov and Rami…
Behaviour of injective dimension with respect to regradings
Andrea Solotar, Pablo Zadunaisky
Given a left noetherian k-algebra A graded by a group G, an injective object I in the category of G-graded A-modules and a morphism from G to another group G', we provide bounds fo…
Quantum analogues of Richardson varieties in the grassmannian and their toric degeneration
Laurent Rigal, Pablo Zadunaisky
In the present paper, we are interested in natural quantum analogues of Richardson varieties in the type A grassmannians. To be more precise, the objects that we investigate are qu…