30 citations · 416 across the 73 of their papers we have counts for
6 papers · 1 filter
On Category over triangular Generalized Weyl Algebras
Apoorva Khare, Akaki Tikaradze
We analyze the BGG Category over a large class of generalized Weyl algebras (henceforth termed GWAs). Given such a "triangular" GWA for which Category d…
Integration and measures on the space of countable labelled graphs
Apoorva Khare, Bala Rajaratnam
In this paper we develop a rigorous foundation for the study of integration and measures on the space of all graphs defined on a countable labelled vertex set .…
Probability inequalities and tail estimates for metric semigroups
Apoorva Khare, Bala Rajaratnam
We study probability inequalities leading to tail estimates in a general semigroup with a translation-invariant metric . (An important and central ex…
Matrix positivity preservers in fixed dimension. I
Alexander Belton, Dominique Guillot, Apoorva Khare +1
A classical theorem proved in 1942 by I.J. Schoenberg describes all real-valued functions that preserve positivity when applied entrywise to positive semidefinite matrices of arbit…
Critical exponents of graphs
Dominique Guillot, Apoorva Khare, Bala Rajaratnam
The study of entrywise powers of matrices was originated by Loewner in the pursuit of the Bieberbach conjecture. Since the work of FitzGerald and Horn (1977), it is known that $A^{…
Axiomatic framework for the BGG Category O
Apoorva Khare
We introduce a general axiomatic framework for algebras with triangular decomposition, which allows for a systematic study of the Bernstein-Gelfand-Gelfand Category .…