A. Khare

activity

20032026

most citedComplete characterization of Hadamard powers preserving Loewner positivity, monotonicity, and convexity

30 citations · 416 across the 73 of their papers we have counts for

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Showing 2022 · math.RTShow all

2 papers · 2 filters

math.RT2022

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 $λ \in h^{*}$ . For $M (λ) ↠ V$ an arbitrary highes…

math.RT2022★ 1 cited

From Cauchy's determinant formula to bosonic and fermionic immanant identities

Apoorva Khare, Siddhartha Sahi

Cauchy's determinant formula (1841) involving $det ((1 - u_{i} v_{j})^{- 1})$ is a fundamental result in symmetric function theory. It has been extended in several directions, including…

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

From Cauchy's determinant formula to bosonic and fermionic immanant identities

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