Preprojective algebras and cluster algebras
Christof Geiss, Bernard Leclerc, Jan Schr\"oer
TL;DR
This paper explores the connection between preprojective algebras and cluster algebras, using representation theory to construct and analyze algebraic structures linked to semisimple groups.
Contribution
It introduces a novel approach to constructing cluster algebras via the representation theory of preprojective algebras, expanding understanding of their relationship with algebraic groups.
Findings
Constructed new classes of cluster algebras from preprojective algebras
Established links between algebraic group structures and cluster algebra frameworks
Provided insights into the representation-theoretic foundations of cluster algebras
Abstract
We use the representation theory of preprojective algebras to construct and study certain cluster algebras related to semisimple algebraic groups.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.