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20112026
most citedAffine PBW Bases and MV Polytopes in Rank 2

1 citations · 6 across the 14 of their papers we have counts for

collaborators

18 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…

math.RT2022

Fundamental monopole operators and embeddings of Kac-Moody affine Grassmannian slices

Dinakar Muthiah, Alex Weekes

Braverman, Finkelberg, and Nakajima define Kac-Moody affine Grassmannian slices as Coulomb branches of quiver gauge theories and prove that their Coulomb branc…

math.AG2019★ 1 cited

On a conjecture of Pappas and Rapoport about the standard local model for

Dinakar Muthiah, Alex Weekes, Oded Yacobi

In their study of local models of Shimura varieties for totally ramified extensions, Pappas and Rapoport posed a conjecture about the reducedness of a certain subscheme of $n \time…

math.RT2019

Double-affine Kazhdan-Lusztig polynomials via masures

Dinakar Muthiah

Masures (previously also known as hovels) are a generalization of the theory of affine buildings for arbitrary -adic Kac-Moody groups. Gaussent and Rousseau invented masures to…