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Gabriel 2-Quivers for Finitary 2-Categories (1310.1586v2)
Published 6 Oct 2013 in math.RT, math.CT, and math.RA
Abstract: We develop the theory of 2-quivers and quiver 2-categories to run in parallel with the classical theory of quiver algebras. A quiver 2-category is always finitary, and, conversely, every finitary 2-category will be bi-equivalent with a quiver 2-category for a unique underlying reduced 2-quiver. As an application, we produce an example of a fiat 2-category, one of whose Duflo involutions is not self-adjoint.
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