3 papers
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…
math.RT2024
Quantum roots for Kac-Moody root systems and finiteness properties of the Kac-Moody affine Bruhat order
Auguste Hebert, Paul Philippe
Let be a split Kac-Moody group over a local field. In their study of the Iwahori-Hecke algebra of , A.Braverman, D. Kazhdan and M. Patnaik defined a partial order - called t…
math.RT2024
Grading of affine Weyl semi-groups of Kac-Moody type
Paul Philippe
For any Kac-Moody root data , D. Muthiah and D. Orr have defined a partial order on the semi-direct product of the integral Tits cone with the vectorial Weyl grou…