On the Ringel--Hall algebra of the gentle one-cycle algebra $\Lambda(n-1,1,1)$
Representation Theory
2024-02-07 v1
Abstract
It is shown that the gentle one-cycle algebra has Hall polynomials. The Hall polynomials are explicitly given for all triples of indecomposable modules, and as a consequence, the Ringel--Hall Lie algebra of is shown to be isomorphic to its Riedtmann Lie algebra.
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Cite
@article{arxiv.2402.03652,
title = {On the Ringel--Hall algebra of the gentle one-cycle algebra $\Lambda(n-1,1,1)$},
author = {Hui Chen and Dong Yang},
journal= {arXiv preprint arXiv:2402.03652},
year = {2024}
}
Comments
7 pages