On the homogeneity problem of the Kazhdan-Lusztig ideals
Adhip Ganguly, Shyamashree Upadhyay
TL;DR
This paper investigates the conditions under which Kazhdan-Lusztig ideals are homogeneous or inhomogeneous, aiming to characterize their algebraic structure more precisely.
Contribution
It provides sufficient conditions for inhomogeneity and explores the criteria for an ideal to be standard homogeneous, advancing understanding of their algebraic properties.
Findings
Identified sufficient conditions for inhomogeneity of Kazhdan-Lusztig ideals
Explored necessary and sufficient conditions for standard homogeneity
Contributed to the algebraic characterization of these ideals
Abstract
In this paper, we identify some sufficient conditions for a Kazhdan-Lusztig ideal to be inhomogeneous. Also, we attempt to approach the problem of giving some necessary and sufficient conditions for a Kazhdan-Lusztig ideal to be "standard homogeneous".
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