A. Khare

collaborators

3 papers

math.CA2026

Distance preservers for Lobachevsky space

Alexander Belton, Dominique Guillot, Apoorva Khare +1

We obtain a complete description of the class of entrywise preservers of Lorentz-Gram matrices. This resolves, for the case of constant negative curvature, the classification of en…

math.CA2026

Negativity-preserving transforms of tuples of symmetric matrices

Alexander Belton, Dominique Guillot, Apoorva Khare +1

Compared to the entrywise transforms which preserve positive semidefiniteness, those leaving invariant the inertia of symmetric matrices reveal a surprising rigidity. We first obta…

math.RT2025

A weight-formula for all highest weight modules, and a higher order parabolic category $O$

Apoorva Khare, G. Krishna Teja

Let $g$ be a complex Kac-Moody algebra, with Cartan subalgebra $h$ . Also fix a weight $I^» \in h^{*}$ . For $M (I^») ↠ V$ an arbitrary high…

Distance preservers for Lobachevsky space

Negativity-preserving transforms of tuples of symmetric matrices

A weight-formula for all highest weight modules, and a higher order parabolic category O

A weight-formula for all highest weight modules, and a higher order parabolic category $O$