The Aizenbud-Lapid binary operation for symmetrizable Cartan types
Representation Theory
2024-08-26 v2
Abstract
Aizenbud and Lapid recently introduced a binary operation on the crystal graph associated to a symmetric Cartan matrix. We extend their construction to symmetrizable Cartan matrices.
Cite
@article{arxiv.2311.17036,
title = {The Aizenbud-Lapid binary operation for symmetrizable Cartan types},
author = {Markus Kleinau},
journal= {arXiv preprint arXiv:2311.17036},
year = {2024}
}
Comments
16 pages, based on master thesis, comments welcome. V2:Added a rigidity assumption to the cancellation property. This was necessary to fix an error in the proof