Quiver connections and bimodules of basic algebras

Published 25 Apr 2024 in math.CT, math.QA, and math.RA | (2404.17002v1)

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

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