Jia Huang

activity

20102026

most cited0-Hecke algebra action on the Stanley-Reisner ring of the Boolean algebra

16 citations · 53 across the 29 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.CO2017★ 3 cited

The Nonassociativity of the Double Minus Operation

Jia Huang, Madison Mickey, Jianbai Xu

The sequence A000975 in OEIS can be defined by $A_{1} = 1$ , $A_{n + 1} = 2 A_{n}$ if $n$ is odd, and $A_{n + 1} = 2 A_{n} + 1$ if $n$ is even. This sequence satisfies other recurrence relations, admit…

math.CO2017★ 1 cited

Hall-Littlewood polynomials and a Hecke action on ordered set partitions

Jia Huang, Brendon Rhoades, Travis Scrimshaw

We construct an action of the Hecke algebra $H_{n} (q)$ on a quotient of the polynomial ring $F [x_{1}, \dots, x_{n}]$ , where $F = Q (q)$ . The dimension of our quotient ring is the…

math.CO2017★ 8 cited

Critical groups for Hopf algebra modules

Darij Grinberg, Jia Huang, Victor Reiner

This paper considers an invariant of modules over a finite-dimensional Hopf algebra, called the critical group. This generalizes the critical groups of complex finite group represe…