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Q-system Completeness of Unitary Connections

Published 9 Feb 2023 in math.QA, math.CT, and math.OA | (2302.04921v1)

Abstract: A Q-system is a unitary version of a separable Frobenius algebra object in a C*-tensor category. In a recent joint work with P. Das, S. Ghosh and C. Jones, the author has categorified Bratteli diagrams and unitary connections by building a $2$-category \textbf{UC}. We prove that every $Q$-system in \textbf{UC} splits.

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