most citedOn affine Kazhdan-Lusztig R-polynomials for Kac-Moody groups

1 citations · 1 across the 2 of their papers we have counts for

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3 papers

math.RT2025

Completed Iwahori-Hecke algebra for Kac-Moody groups over local fields

Auguste Hébert, Dinakar Muthiah

Let be a split Kac-Moody group over a non-Archimedean local field, and let be the Iwahori-Hecke algebra of . In this paper, we construct a completed Iwahori-He…

math.GR2024

Tessellations of an affine apartment by affine weight polytopes

Claudio Bravo, Auguste Hébert, Diego Izquierdo +1

Let $\A$ be a finite dimensional vector space and be a finite root system in $\A$. To this data is associated an affine poly-simplicial complex. Motivated by a forthcoming cons…

math.RT2024★ 1 cited

On affine Kazhdan-Lusztig R-polynomials for Kac-Moody groups

Auguste Hébert, Paul Philippe

In 2019, D. Muthiah proposed a strategy to define affine Kazhdan-Lusztig -polynomials for Kac-Moody groups. Since then, Bardy-Panse, the first author and Rousseau have introduce…