On monoidal group actions on tensor categories and their Green functors

DOI10.1007/S00605-018-1156-0zbMath1441.19003OpenAlexW2791442564MaRDI QIDQ667553

Sebastian Burciu

Publication date: 28 February 2019

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-018-1156-0

zbMATH Keywords

Grothendieck rings\(K\)-theorytensor categoriesgroup actions on categories

Mathematics Subject Classification ID

Frobenius induction, Burnside and representation rings (19A22) Ring-theoretic aspects of quantum groups (16T20) Monoidal categories, symmetric monoidal categories (18M05)

Cites Work

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• Hopf algebra extensions of group algebras and Tambara-Yamagami categories.
• On braided fusion categories. I
• Hecke actions on Picard groups
• Class group relations from Burnside ring idempotents
• Hecke actions on the \(K\)-theory of commutative rings
• On fusion categories.
• Axiomatic representation threory for finite groups
• Some remarks on exact sequences of quantum groups
• Higher algebraic K-theory: I
• Fusion rules of equivariantizations of fusion categories
• New examples of the Green functors arising from representation theory of semisimple Hopf algebras
• On the Grothendieck rings of equivariant fusion categories

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