On Lagrangian algebras in group-theoretical braided fusion categories

DOI10.1016/j.jalgebra.2016.09.016zbMath1368.18002arXiv1603.04650OpenAlexW2963526880MaRDI QIDQ342834

Alexei Davydov, Darren A. Simmons

Publication date: 18 November 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.04650

zbMATH Keywords

braided fusion categoriesLagrangian algebras

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Homological methods in group theory (20J05) Representation theory of groups (20C99)

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Cites Work

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• Modular invariants for group-theoretical modular data. I
• On braided fusion categories. I
• Centre of an algebra
• Module categories, weak Hopf algebras and modular invariants
• On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories
• Correspondences of ribbon categories
• ALGEBRAIC ASPECTS OF ORBIFOLD MODELS
• The Witt group of non-degenerate braided fusion categories
• Cohomology of Group Extensions
• Finite group modular data