RANK-FINITENESS FOR G-CROSSED BRAIDED FUSION CATEGORIES

C. Jones; S. Morrison; D. Nikshych; E. C. Rowell

doi:10.1007/s00031-020-09576-2

RANK-FINITENESS FOR G-CROSSED BRAIDED FUSION CATEGORIES

C. Jones^*, S. Morrison, D. Nikshych, E. C. Rowell

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We establish rank-finiteness for the class of G-crossed braided fusion categories, generalizing the recent result for modular categories and including the important case of braided fusion categories. This necessitates a study of slightly degenerate braided fusion categories and their centers, which are interesting for their own sake.

Original language	English
Pages (from-to)	915-927
Number of pages	13
Journal	Transformation Groups
Volume	26
Issue number	3
DOIs	https://doi.org/10.1007/s00031-020-09576-2
Publication status	Published - Sept 2021

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10.1007/s00031-020-09576-2

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title = "RANK-FINITENESS FOR G-CROSSED BRAIDED FUSION CATEGORIES",

abstract = "We establish rank-finiteness for the class of G-crossed braided fusion categories, generalizing the recent result for modular categories and including the important case of braided fusion categories. This necessitates a study of slightly degenerate braided fusion categories and their centers, which are interesting for their own sake.",

author = "C. Jones and S. Morrison and D. Nikshych and Rowell, \{E. C.\}",

note = "Publisher Copyright: {\textcopyright} 2020, Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2021",

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doi = "10.1007/s00031-020-09576-2",

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AU - Jones, C.

AU - Morrison, S.

AU - Nikshych, D.

AU - Rowell, E. C.

PY - 2021/9

Y1 - 2021/9

N2 - We establish rank-finiteness for the class of G-crossed braided fusion categories, generalizing the recent result for modular categories and including the important case of braided fusion categories. This necessitates a study of slightly degenerate braided fusion categories and their centers, which are interesting for their own sake.

AB - We establish rank-finiteness for the class of G-crossed braided fusion categories, generalizing the recent result for modular categories and including the important case of braided fusion categories. This necessitates a study of slightly degenerate braided fusion categories and their centers, which are interesting for their own sake.

UR - https://www.scopus.com/pages/publications/85086100453

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DO - 10.1007/s00031-020-09576-2

M3 - Article

SN - 1083-4362

VL - 26

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JO - Transformation Groups

JF - Transformation Groups

IS - 3

ER -

RANK-FINITENESS FOR G-CROSSED BRAIDED FUSION CATEGORIES

Abstract

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