3 papers
math.RT2026
Coulomb branches, quantized zastavas, Kac polynomials, and shuffle algebras
Dinakar Muthiah, Alex Weekes
We previously constructed closed embeddings of Kac-Moody affine Grassmannian slices using fundamental monopole operators. These spaces are defined via the Braverman-Finkelberg-Naka…
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
Pursuing Coxeter theory for Kac-Moody affine Hecke algebras
Dinakar Muthiah, Anna Puskás
The Kac-Moody affine Hecke algebra was first constructed as the Iwahori-Hecke algebra of a -adic Kac-Moody group by work of Braverman, Kazhdan, and Patnaik, and by…