Traces on module categories over fusion categories

DOI10.1016/j.jalgebra.2013.01.013zbMath1291.18011arXiv1206.5716OpenAlexW1985508159MaRDI QIDQ376046

Gregor Schaumann

Publication date: 1 November 2013

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

Full work available at URL: https://arxiv.org/abs/1206.5716

zbMATH Keywords

module categoryquantum algebrafusion categoryFrobenius algebra

Mathematics Subject Classification ID

Related Items (20)

Module Eilenberg-Watts calculus ⋮ Extending the trace of a pivotal monoidal functor ⋮ Relative Serre functor for comodule algebras ⋮ Mapping class group representations and Morita classes of algebras ⋮ State sum models with defects based on spherical fusion categories ⋮ Standard \(\lambda\)-lattices, rigid \(\mathrm{C}^\ast\) tensor categories, and (bi)modules ⋮ Bulk from boundary in finite CFT by means of pivotal module categories ⋮ On \(G\)-crossed Frobenius \(\star\)-algebras and fusion rings associated with braided \(G\)-actions ⋮ An equivalence between semisimple symmetric Frobenius algebras and Calabi-Yau categories ⋮ On finite symmetries and their gauging in two dimensions ⋮ Crossed \(S\)-matrices and character sheaves on unipotent groups ⋮ Shintani descent for algebraic groups and almost characters of unipotent groups ⋮ The module embedding theorem via towers of algebras ⋮ Symmetries and strings of adjoint \(\mathrm{QCD}_2\) ⋮ Pivotal tricategories and a categorification of inner-product modules ⋮ Eigenvalues of the squared antipode in finite dimensional weak Hopf algebras ⋮ Dualizable tensor categories ⋮ Construction of two-dimensional topological field theories with non-invertible symmetries ⋮ Domain walls between 3d phases of Reshetikhin-Turaev TQFTs ⋮ Frobenius algebras and homotopy fixed points of group actions on bicategories

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