16 citations · 53 across the 29 of their papers we have counts for
4 papers · 1 filter
Modular Catalan Numbers
Nickolas Hein, Jia Huang
The Catalan number enumerates parenthesizations of where is a binary operation. We introduce the modular Catalan number to count equivalence cl…
Absolute order in general linear groups
Jia Huang, Joel Brewster Lewis, Victor Reiner
This paper studies a partial order on the general linear group GL(V) called the absolute order, derived from viewing GL(V) as a group generated by reflections, that is, elements wh…
A uniform generalization of some combinatorial Hopf algebras
Jia Huang
We generalize the Hopf algebras of free quasisymmetric functions, quasisymmetric functions, noncommutative symmetric functions, and symmetric functions to certain representations o…
A tableau approach to the representation theory of 0-Hecke algebras
Jia Huang
A 0-Hecke algebra is a deformation of the group algebra of a Coxeter group. Based on work of Norton and Krob--Thibon, we introduce a tableau approach to the representation theory o…