Some Consequences of Categorification
Rings and Algebras
2020-02-05 v3 Quantum Algebra
Representation Theory
Abstract
Several conjectures on acyclic skew-symmetrizable cluster algebras are proven as direct consequences of their categorification via valued quivers. These include conjectures of Fomin-Zelevinsky, Reading-Speyer, and Reading-Stella related to -vectors, -vectors, and -polynomials.
Cite
@article{arxiv.1712.08478,
title = {Some Consequences of Categorification},
author = {Dylan Rupel and Salvatore Stella},
journal= {arXiv preprint arXiv:1712.08478},
year = {2020}
}