3 papers
math.RT2026
Characteristic Classes Of Representations Of Lie Groups
Rohit Joshi, Steven Spallone
An irreducible representation of a reductive Lie algebra, when restricted to a Cartan subalgebra, decomposes into weights with multiplicity. The first part of this paper outlines a…
math.RT2025
Divisibility of Character Values of Representations of Coxeter Groups
Jyotirmoy Ganguly, Rohit Joshi
Let be a positive integer. We study the proportion of irreducible characters of infinite families of irreducible Coxeter groups whose values evaluated on a fixed element ar…
math.AT2024
Central Extensions and Cohomology
Rohit Joshi, Pranjal Jain, Steven Spallone
Let G be a group which is topologically a CW-complex, BG a classifying space for G, and A a discrete abelian group. To a central extension of G by A, we associate a cohomology clas…