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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…
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…
Mesas of Stirling permutations
Nicolle González, Pamela E. Harris, Gordon Rojas Kirby +2
Given a Stirling permutation w, we introduce the mesa set of w as the natural generalization of the pinnacle set of a permutation. Our main results characterize admissible mesa set…