Relative Serre functor for comodule algebras

DOI10.1016/j.jalgebra.2023.07.015arXiv1904.00376OpenAlexW2930920998MaRDI QIDQ6052911

Kenichi Shimizu

Publication date: 25 September 2023

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

Full work available at URL: https://arxiv.org/abs/1904.00376

zbMATH Keywords

Hopf algebrasmodule categorycomodule algebrafinite tensor categoryrelative Serre functor

Mathematics Subject Classification ID

Monoidal categories, symmetric monoidal categories (18M05) Fusion categories, modular tensor categories, modular functors (18M20)

Related Items (3)

On unimodular module categories ⋮ Homotopy invariants of braided commutative algebras and the Deligne conjecture for finite tensor categories ⋮ Bulk from boundary in finite CFT by means of pivotal module categories

Cites Work

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• Traces on module categories over fusion categories
• Exact sequences of tensor categories with respect to a module category
• Biinvertible actions of Hopf algebras
• The trace function and Hopf algebras
• Hopf algebras of order \(p^2\) and braided Hopf algebras of order \(p\)
• Module categories, weak Hopf algebras and modular invariants
• Further results on the structure of (co)ends in finite tensor categories
• The balanced tensor product of module categories
• Minimal quasitriangular Hopf algebras
• On module categories over finite-dimensional Hopf algebras.
• On Frobenius algebras in rigid monoidal categories
• Projectivity and freeness over comodule algebras
• Doubles for monoidal categories
• The Order of the Antipode of a Finite Dimensional Hopf Algebra is Finite
• Frobenius extensions of subalgebras of Hopf algebras
• On Semisimplification of Tensor Categories
• Eilenberg-Watts calculus for finite categories and a bimodule Radford 𝑆⁴ theorem
• Eigenvalues of the squared antipode in finite dimensional weak Hopf algebras
• Tensor Categories
• An approach to Hopf algebras via Frobenius coordinates
• Module categories over pointed Hopf algebras.
• Pivotal tricategories and a categorification of inner-product modules

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