J. Ganguly

activity

20192026

most citedOn the Divisibility of Character Values of the Symmetric Group

2 citations · 2 across the 6 of their papers we have counts for

collaborators

7 papers

math.RT2026

Stiefel-Whitney classes for symmetric groups

Sujeet Bhalerao, Jyotirmoy Ganguly, Steven Spallone

We prove several results about Stiefel-Whitney Classes (SWCs) $w_{k} (π)$ of representations $π$ of $S_{n}$ . First, each SWC is polynomial in the character values of $π$ at involutions.…

math.RT2025

Kronecker Coefficients and Simultaneous Conjugacy Classes

Jyotirmoy Ganguly, Digjoy Paul, Amritanshu Prasad +2

A Kronecker coefficient is the multiplicity of an irreducible representation of a finite group $G$ in a tensor product of irreducible representations. We define Kronecker Hecke alg…

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.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★ 2 cited

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 symmetric groups

Kronecker Coefficients and Simultaneous Conjugacy Classes

Divisibility of Character Values of Representations of Coxeter Groups

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 $GL_{2} (F_{q})$