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Modular categories of dimension p 3 m p^3m with m m square-free

Modular categories of dimension p 3 m p^3m with m m square-free

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_ams_primary_10_1090_proc_13776

Modular categories of dimension p 3 m p^3m with m m square-free

About this item

Full title

Modular categories of dimension p 3 m p^3m with m m square-free

Publisher

Providence, Rhode Island: American Mathematical Society

Journal title

Proceedings of the American Mathematical Society, 2018-10, Vol.147 (1), p.21-34

Language

English

Formats

Publication information

Publisher

Providence, Rhode Island: American Mathematical Society

Subjects

Subjects and topics

More information

Scope and Contents

Contents

We give a complete classification of modular categories of dimension p3mp^3m where pp is prime and mm is a square-free integer relatively prime to pp. When pp is odd, all such categories are pointed. For p=2p=2 one encounters modular categories with the same fusion ring as orthogonal quantum groups at certain roots of unity, namely SO(2m)2\mathrm {...

Alternative Titles

Full title

Modular categories of dimension p 3 m p^3m with m m square-free

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Identifiers

Primary Identifiers

Record Identifier

TN_cdi_ams_primary_10_1090_proc_13776

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_ams_primary_10_1090_proc_13776

Other Identifiers

ISSN

0002-9939

E-ISSN

1088-6826

DOI

10.1090/proc/13776

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