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University of Sydney Algebra Seminar

Ben Elias

Friday 16 August, 12-1pm, Place: Carslaw 275

Fusion quivers

A classical result of Gabriel states that the ADE quivers are precisely those quivers with finitely many indecomposable representations, and that indecomposable representations are parametrized by positive roots. Edmund Heng found a generalization of the concept of quiver representations which broadens Gabriel's theorem to include all finite types ABCDEFGH. This talk will give an overview of recent work of Elias-Heng, which provides the proper framework for Heng's generalization and others: the concept of a fusion quiver. Our main result is a classification of fusion quivers with finitely many indecomposable representations.