Dipendra Prasad

collaborators

3 papers

math.NT2025

Some questions in Diophantine approximation: real and p-adics

Dipendra Prasad

The Weak approximation theorem describes the closure of $G (Q)$ inside $G (Q_{p})$ as well as inside $G (R)$ for $G$ an algebraic group over $Q$ ; the closure is always an open normal su…

math.RT2025

Character theory at a torsion element

Santosh Nadimpalli, Santosha Pattanayak, Dipendra Prasad

The paper relates character value of an irreducible representation of a compact connected Lie group at certain elements of finite order with the dimension of a representation on an…

math.RT2024

Character of Irreducible Representations Restricted to Finite Order Elements -- An Asymptotic Formula

Shrawan Kumar, Dipendra Prasad

Let $G$ be a connected reductive group over the complex numbers and let $T \subset G$ be a maximal torus. For any $t \in T$ of finite order and any irreducible representation $V (I^»)$ …