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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.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…