Rohit Joshi

collaborators

3 papers

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

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…

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

Spinorial Representations of Orthogonal Groups

Spinoriality of orthogonal representations of reductive groups

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