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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 con…
math.RT2024
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…