Real roots in the root system $\mathsf{T}_{2,p,q}$
Combinatorics
2023-08-21 v3
Abstract
Motivated by the recent advances in the categorification of the cluster structure on the coordinate rings of Grassmannians of -subspaces in -space, we investigate a particular construction of root systems of type , including the type . This construction generalizes Manin's ``hyperbolic construction'' of and reveals a lot of otherwise hidden regularities in this family of root systems.
Keywords
Cite
@article{arxiv.2101.03119,
title = {Real roots in the root system $\mathsf{T}_{2,p,q}$},
author = {Karin Baur and Jian-Rong Li and Andrei Smolensky},
journal= {arXiv preprint arXiv:2101.03119},
year = {2023}
}