The discrete-to-finite general representation type conjecture

Let AA be a finite-dimensional algebra. Say that AA has discrete general representation type when every irreducible component of each representation variety for AA has a dense orbit, and say that AA has finite general representation type when there are only finitely many indecomposable irreducible components. Discrete-to-finite general representation type conjecture. If AA is of discrete general representation type, then AA is of finite general representation type. This is presented as a Brauer--Thrall-style conjecture for general representations, supported by the results of the paper and related work; its status remains open in the supplied text.

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Primary source

Ryan Kinser and Danny Lara, “On algebras of finite general representation type”, arXiv:2204.02847 (2024).

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