105 citations · 120 across the 14 of their papers we have counts for
5 papers · 1 filter
Counting factorizations of Singer cycles in linear and unitary groups
Joel Brewster Lewis, C. Ryan Vinroot
We count factorizations of Singer cycles as products of reflections in the families of special and general unitary and linear groups over a finite field. In the case of minimum-len…
Kostka multiplicity one for multipartitions
James Janopaul-Naylor, C. Ryan Vinroot
If is a multipartition of the positive integer (a sequence of partitions with total size ), and is a partition of , we study the number of sequ…
Multivariate Rogers-Szegö polynomials and flags in finite vector spaces
C. Ryan Vinroot
We give a recursion for the multivariate Rogers-Szegö polynomials, along with another recursive functional equation, and apply them to compute special values. We also consider the…
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
Marcelo Aguiar, Carlos Andre, Carolina Benedetti +25
We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a fi…
Constructing all irreducible Specht modules in a block of the symmetric group
James P. Cossey, Matthew Ondrus, C. Ryan Vinroot
For any prime p, we construct, and simultaneously count, all of the complex Specht modules in a given p-block of the symmetric group which remain irreducible when reduced modulo p.…