J. Tirrell

most citedOn sequences associated to the invariant theory of rank two simple Lie algebras

2 citations · 2 across the 1 of their papers we have counts for

collaborators

3 papers

math.CO2019★ 2 cited

On sequences associated to the invariant theory of rank two simple Lie algebras

Alin Bostan, Jordan Tirrell, Bruce W. Westbury +1

We study two families of sequences, listed in the On-Line Encyclopedia of Integer Sequences (OEIS), which are associated to invariant theory of Lie algebras. For the first family,…

math.CO2019

Lucas atoms

Bruce E. Sagan, Jordan Tirrell

Given two variables $s$ and $t$ , the associated sequence of Lucas polynomials is defined inductively by ${0} = 0$ , ${1} = 1$ , and ${n} = s {n - 1} + t {n - 2}$ for $n \geq 2$ . An integer…

math.CO2018

Hopping from Chebyshev polynomials to permutation statistics

Jordan O. Tirrell, Yan Zhuang

We prove various formulas which express exponential generating functions counting permutations by the peak number, valley number, double ascent number, and double descent number st…