3 papers
math.CO2025
Pinnacles for Complex Reflection Groups
Aaron Burnham-Schmidt, Nicolle González
We study, characterize, and enumerate the admissible pinnacle sets of nonexceptional complex reflection groups , which include all generalized symmetric groups $\mathbb{Z…
math.CO2025
Keys and Evacuation via Virtualization
Olga Azenhas, Nicolle González, Daoji Huang +1
In this paper, we study the relation between the key map and virtualization of crystals. Namely, we prove that virtualization between crystals in any two finite Cartan types commut…
math.GT2024
Khovanov-Rozansky homology of Coxeter knots and Schröder polynomials for paths under any line
Carmen Caprau, Nicolle González, Matthew Hogancamp +1
We introduce a family of generalized Schröder polynomials , indexed by triangular partitions and prove that agrees with the Poincaré series of the…