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math.AG2025
Fano compactifications of mutation algebras
Joshua Enwright, Luca Francone, Joaquín Moraga +1
In this article, we introduce the notion of mutation semigroup algebras. This concept simultaneously generalizes cluster algebras and semigroup algebras. We show that, under some m…
math.RT2025
An introduction to -bands
Luca Francone, Bernard Leclerc
We give an introduction to our results on cluster structures for schemes of -bands emphasizing their connections with seminal works of Frenkel and Reshetikhin in the 90's. I…
math.RT2025
Cluster structures on schemes of bands
Luca Francone, Bernard Leclerc
We introduce new objects, called -bands, associated with a simple simply-connected algebraic group , and a Coxeter element in its Weyl group. We show that bands of a…