On classification of super-modular categories of rank 8 Academic Article

abstract

• We develop categorical and number-theoretical tools for the classification of super-modular categories. We apply these tools to obtain a partial classification of super-modular categories of rank [Formula: see text]. In particular we find three distinct families of prime categories in rank [Formula: see text] in contrast to the lower rank cases for which there is only one such family.

authors

• Rowell, Eric

published proceedings

• JOURNAL OF ALGEBRA AND ITS APPLICATIONS

author list (cited authors)

• Bruillard, P., Plavnik, J., Rowell, E. C., & Zhang, Q.

citation count

• 2

complete list of authors

• Bruillard, Paul||Plavnik, Julia||Rowell, Eric C||Zhang, Qing

publication date

• January 2021

publisher

• World Scientific Publishing  Publisher

published in

• Journal of Algebra and Its Applications  Journal

keywords

• Classification By Rank
• Galois Action
• Super-modular Categories

Digital Object Identifier (DOI)

• 10.1142/S021949882140017X

start page

• 2140017

end page

• 2140017

volume

• 20

issue

• 1

URL

• http://dx.doi.org/10.1142/s021949882140017x