4 papers
The sparsity of character tables over finite reductive groups and its additive analogue
GyeongHyeon Nam, Anna Puskás
We consider the proportion of zero entries in the character table of a sequence of reductive groups over a finite field. We prove an asymptotic lower bound when the reductive group…
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…
Arithmetic geometry of character varieties with regular monodromy
Masoud Kamgarpour, GyeongHyeon Nam, Anna Puskás
We study character varieties arising as moduli of representations of an orientable surface group into a reductive group . We first show that if acts freely on the represen…
Correction factors for Kac-Moody groups and -deformed root multiplicities
Dinakar Muthiah, Anna Puskás, Ian Whitehead
We study a correction factor for Kac-Moody root systems which arises in the theory of -adic Kac-Moody groups. In affine type, this factor is known, and its explicit computation…