9 citations · 13 across the 10 of their papers we have counts for
13 papers
Projection Constants of Polynomial Spaces via Representation Theory
Andreas Defant, Daniel Galicer, Martín Mansilla +3
We develop a representation-theoretic framework for computing projection constants of finite-dimensional subspaces of , where is a compact homogeneous -space. Within t…
Explicit realization of bounded modules for symplectic Lie algebras: spinor versus oscillator
Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramirez +1
We provide an explicit combinatorial realization of all simple and injective (hence, and projective) modules in the category of bounded -modules. This realizatio…
Highest weight categories of -modules
Pablo Zadunaisky
We study a category of modules over analogous to category . We fix adequate Cartan, Borel and Levi-type subalgebras a…
A note on set theoretical solutions of the Yang-Baxter equation with trivial retraction
Pablo Zadunaisky
We show that every finite non-degenerate set theoretical solution to the YBE whose retraction is a flip linearizes to a twist of the flip solution by roots of unity. This generaliz…
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…
Gelfand-Tsetlin modules over with arbitrary characters
Luis Enrique Ramírez, Pablo Zadunaisky
A Gelfand-Tsetlin tableau induces a character of the Gelfand-Tsetlin subalgebra of . By a theorem due to Ovsienko, for each tabl…
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…
Change of grading, injective dimension and dualizing complexes
Andrea Solotar, Pablo Zadunaisky
Let be groups, a group morphism, and a -graded algebra. The morphism induces an -grading on , and on any -graded -module, which th…
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…
Twisted semigroup algebras
Laurent Rigal, Pablo Zadunaisky
We study 2-cocycle twists, or equivalently Zhang twists, of semigroup algebras over a field k. If the underlying semigroup is affine, that is abelian, cancellative and finitely gen…
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…