Maximal Rigid Representations of Continuous Quivers of Type A with Automorphism

Minghui Zhao; Xiaowen Gao

Maximal Rigid Representations of Continuous Quivers of Type A with Automorphism

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arxiv 2410.07210 v1 pith:NTYJ2XLM submitted 2024-09-26 math.RT math.RA

Xiaowen Gao , Minghui Zhao This is my paper · ORCID

classification math.RTmath.RA

keywords maximalquiversrepresentationsrigidautomorphismclassescontinuousisomorphism

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Buan and Krause gave a classification of maximal rigid representations for cyclic quivers and counted the number of isomorphism classes. By using this result, we give a formula on the number of isomorphism classes of a kind of maximal rigid representations for continuous quivers of type A with automorphism.

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Isometry Theorem for Continuous Quiver of Type $\tilde{A}$
math.RT 2024-12 reject novelty 6.0 of 10

The paper proves equality of interleaving and bottleneck distances for pointwise finite-dimensional nilpotent representations of the continuous quiver of type tilde A.

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