J. Ganguly

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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

Spinorial Representations of Symmetric Groups

Jyotirmoy Ganguly, Steven Spallone

A real representation $π$ of a finite group may be regarded as a homomorphism to an orthogonal group $\Or(V)$. For symmetric groups $S_{n}$ , alternating groups $A_{n}$ , and products $S…

math.RT2019

On the Divisibility of Character Values of the Symmetric Group

Jyotirmoy Ganguly, Amritanshu Prasad, Steven Spallone

Fix a partition $μ = (μ_{1}, \dots, μ_{m})$ of an integer $k$ and positive integer $d$ . For each $n > k$ , let $χ_{μ}^{λ}$ denote the value of the irreducible character of $S_{n}$ at a permutation…

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

Spinorial Representations of Orthogonal Groups

Spinorial Representations of Symmetric Groups

On the Divisibility of Character Values of the Symmetric Group

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