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math.CO2010★ 5 cited
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…
math.CO2006★ 3 cited
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.…