Rohit Joshi

activity

20192026

most citedSpinoriality of Orthogonal Representations of GL(n,q)

4 citations · 5 across the 7 of their papers we have counts for

collaborators

8 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 $d$ 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 $g$ ar…

math.AT2023★ 1 cited

Central Extensions and Cohomology

Pranjal Jain, Rohit Joshi, 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…

math.RT2023

Stiefel-Whitney Classes Of Representations Of Dihedral Groups

Sujeet Bhalerao, Rohit Joshi, Neha Malik

We compute the Stiefel-Whitney Classes for representations of dihedral groups $D_{m}$ in terms of character values of order two elements. We also provide criteria to identify represe…

math.RT2020

Stiefel Whitney Classes for Real representations of $GL_{2} (F_{q})$

Jyotirmoy Ganguly, Rohit Joshi

We compute the total Stiefel Whitney class for a real representation $π$ of $GL_{2} (F_{q})$ , where $q$ is odd. The obstruction class of $π$ is defined to be the Stief…

math.RT2020★ 4 cited

Spinoriality of Orthogonal Representations of GL(n,q)

Rohit Joshi, Steven Spallone

We determine which orthogonal representations V of GL(n,q) lift to the double cover Pin(V ) of the orthogonal group O(V ). We cover all n and prime powers q, except for (n; q) =(3,…

math.RT2020

Spinorial Representations of Orthogonal Groups

Jyotirmoy Ganguly, Rohit Joshi

Let $G$ be a real compact Lie group, such that $G = G^{0} ⋊ C_{2}$ , with $G^{0}$ simple. Here $G^{0}$ is the connected component of $G$ containing the identity and $C_{2}$ is the cyclic g…

math.RT2019

Spinoriality of orthogonal representations of reductive groups

Rohit Joshi, Steven Spallone

Let G be a connected reductive group over a field of characteristic zero, and consider an orthogonal representation of G. We give a simple criterion for whether the representation…

Characteristic Classes Of Representations Of Lie Groups

Divisibility of Character Values of Representations of Coxeter Groups

Central Extensions and Cohomology

Stiefel-Whitney Classes Of Representations Of Dihedral Groups

Stiefel Whitney Classes for Real representations of GL2​(Fq​)

Spinoriality of Orthogonal Representations of GL(n,q)

Spinorial Representations of Orthogonal Groups

Spinoriality of orthogonal representations of reductive groups

Stiefel Whitney Classes for Real representations of $GL_{2} (F_{q})$