S. Spallone

collaborators

4 papers

math.RT2026

Stiefel-Whitney classes for symmetric groups

Sujeet Bhalerao, Jyotirmoy Ganguly, Steven Spallone

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

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

Stiefel-Whitney Classes for Finite Symplectic Groups

Neha Malik, Steven Spallone

Let $q$ be an odd prime power, and $G = Sp (2 n, q)$ the finite symplectic group. We give an expression for the total Stiefel-Whitney Classes (SWCs) for orthogonal representation…

math.RT2025

Stiefel-Whitney Classes for Finite Special Linear Groups of Even Rank

Neha Malik, Steven Spallone

We compute the total Stiefel-Whitney Classes (SWCs) for orthogonal representations of special linear groups $SL (n, q)$ when $n$ and $q$ are odd. These classes are expressed i…