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Structure, examples and classification for generalized near-group fusion categories

Published 19 Apr 2020 in math.QA | (2004.08735v1)

Abstract: We describe the structure of a generalized near-group fusion category and present an example of this class of fusion categories which arises from the extension of a Fibonacci category. We then classify slightly degenerate generalized near-group fusion categories. We also prove a structure result for braided generalized Tambara-Yamagami fusion categories.

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