30 citations · 416 across the 73 of their papers we have counts for
Showing 2008Show all
3 papers · 1 filter
math.RT2008
Axiomatic framework for the BGG Category O
Apoorva Khare
The main goal of this paper is to show that a wide variety of infinite-dimensional algebras all share a common structure, including a triangular decomposition and a theory of weigh…
math.RT2008★ 4 cited
Functoriality of the BGG Category O
Apoorva Khare
This article aims to contribute to the study of algebras with triangular decomposition over a Hopf algebra, as well as the BGG Category O. We study functorial properties of O acros…
math.QA2008★ 7 cited
Center and representations of infinitesimal Hecke algebras of sl_2
Akaki Tikaradze, Apoorva Khare
In this paper, we compute the center of the infinitesimal Hecke algebras Hz associated to sl_2 ; then using nontriviality of the center, we study representations of these algebras…