13 citations · 37 across the 25 of their papers we have counts for
29 papers
Stiefel-Whitney classes for symmetric groups
Sujeet Bhalerao, Jyotirmoy Ganguly, Steven Spallone
We prove several results about Stiefel-Whitney Classes (SWCs) of representations of . First, each SWC is polynomial in the character values of at involutions.…
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…
Stiefel-Whitney Classes for Finite Symplectic Groups
Neha Malik, Steven Spallone
Let be an odd prime power, and the finite symplectic group. We give an expression for the total Stiefel-Whitney Classes (SWCs) for orthogonal representation…
The Divisibility of Character Values
Varun Shah, Steven Spallone
Let be a prime power, and a positive integer. We study the proportion of irreducible characters of whose values evaluated on a fixed matrix are divis…
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 when and are odd. These classes are expressed i…
On the Divisibility of Degrees of Representations of Lie Algebras
Varun Shah, Steven Spallone
Let be a reductive Lie algebra, and a positive integer. There is a natural density of irreducible representations of , whose degrees are not divisibl…