3 citations · 3 across the 4 of their papers we have counts for
4 papers
Ranks for Representations of GL(n) Over Finite Fields, their Agreement, and Positivity of Fourier Transform
Shamgar Gurevich, Roger Howe
In [Frobenius1896] it was shown that many important properties of a finite group could be examined using formulas involving the character ratios of group elements, i.e., the trace…
Harmonic Analysis on GL(n) over Finite Fields
Shamgar Gurevich, Roger Howe
There are many formulas that express interesting properties of a finite group G in terms of sums over its characters. For estimating these sums, one of the most salient quantities…
The Pieri Rule for GLn Over Finite Fields
Shamgar Gurevich, Roger Howe
The Pieri rule gives an explicit formula for the decomposition of the tensor product of irreducible representation of the complex general linear group GL(n,C) with a symmetric powe…
A look at Representations of SL(2,F_q) through the Lens of Size
Shamgar Gurevich, Roger Howe
How to study a nice function on the real line? The physically motivated Fourier theory technique of harmonic analysis is to expand the function in the basis of exponentials and stu…