Quiver connections and bimodules of basic algebras

Sean Thompson

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arXiv · 2404.17002

Quiver connections and bimodules of basic algebras

Sean Thompson

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Abstract

Motivated by the problem of classifying quantum symmetries of non-semisimple, finite-dimensional associative algebras, we define a notion of connection between bounded quivers and build a bicategory of bounded quivers and quiver connections. We prove this bicategory is equivalent to a bicategory of basic algebras, bimodules, and intertwiners with some additional structure.

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Sean Thompson. 2024-04-25. Quiver connections and bimodules of basic algebras. https://arxiv.org/abs/2404.17002

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