Modular invariants for group-theoretical modular data. I
type: Item
instance of: scholarly article
title: Modular invariants for group-theoretical modular data. I
zbMATH Open document ID: 1226.18008
author: Alexei Davydov
published in: Journal of Algebra
publication date: 2010-04-21T00:00:00Z
full work available at URL: https://arxiv.org/abs/0908.1044
review text: The main goal of the paper is to classify indecomposable commutative separable algebras and their local modules in group-theoretical modular categories. This gives the description of the modular invariants for group-theoretical modular data and an answer to the question when and in how many ways two group-theoretical modular categories are equivalent as ribbon categories. The case of group-theoretical modular data for the symmetric group \(S_3\) is treated as an example.
reviewed by: Daniel Bulacu
Mathematics Subject Classification ID: 18D10
Mathematics Subject Classification ID: 16W50
zbMATH DE Number: 5696910
zbMATH Keywords: modular category
zbMATH Keywords: commutative separable algebra
zbMATH Keywords: modular invariant
zbMATH Keywords: ribbon categories
MaRDI profile type: Publication
OpenAlex ID: W1998179099
arXiv ID: 0908.1044
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DOI: 10.1016/J.JALGEBRA.2009.11.041
description: scientific article