105 citations · 131 across the 20 of their papers we have counts for
Showing math.COShow all
3 papers · 1 filter
math.CO2021
A New Partial Order on SYT
Gizem Karaali, Isabella Senturia, Müge Taşkin
We define a new partial order on , the set of all standard Young tableaux with cells, by combining the chain order with the notion of horizontal strips. We prove various…
math.CO2010★ 105 cited
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…
math.CO2009
Multigraded combinatorial Hopf algebras and refinements of odd and even subalgebras
Samuel K. Hsiao, Gizem Karaali
We develop a theory of multigraded (i.e., -graded) combinatorial Hopf algebras modeled on the theory of graded combinatorial Hopf algebras developed by Aguiar, Bergeron, and S…