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- W4302012189 abstract "In this paper, we investigate quantum Fourier analysis on subfactors and unitary fusion categories. We prove the complete positivity of the comultiplication for subfactors and derive a primary $n$-criterion of unitary categorifcation of multifusion rings. It is stronger than the Schur product criterion when $ngeq3$. The primary criterion could be transformed into various criteria which are easier to check in practice even for noncommutative, high-rank, high-multiplicity, multifusion rings. More importantly, the primary criterion could be localized on a sparse set, so that it works for multifusion rings with sparse known data. We give numerous examples to illustrate the efficiency and the power of these criteria." @default.
- W4302012189 created "2022-10-06" @default.
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- W4302012189 date "2022-10-03" @default.
- W4302012189 modified "2023-09-28" @default.
- W4302012189 title "Complete Positivity of Comultiplication and Primary Criteria for Unitary Categorification" @default.
- W4302012189 doi "https://doi.org/10.48550/arxiv.2210.00792" @default.
- W4302012189 hasPublicationYear "2022" @default.
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