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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 be a connected reductive group over the complex numbers and let be a maximal torus. For any of finite order and any irreducible representation …