Diagrammatics for Comodule Monads

Abstract We extend Willerton’s [24] graphical calculus for bimonads to comodule monads, a monadic interpretation of module categories over a monoidal category. As an application, we prove a version of Tannaka–Krein duality for these structures.

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Publication Details

Journal
Applied Categorical Structures
Published
2024-08-29
DOI
https://doi.org/10.1007/s10485-024-09778-9
Citations
1
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
1.01

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article

Diagrammatics for Comodule Monads

Sebastian Halbig, Tony Zorman
1 citations
Applied Categorical Structures
Algebraic structures and combinatorial models
1.01
article

Diagrammatics for Comodule Monads

Sebastian Halbig, Tony Zorman
article en
1 citations

Abstract

Abstract We extend Willerton’s [24] graphical calculus for bimonads to comodule monads, a monadic interpretation of module categories over a monoidal category. As an application, we prove a version of Tannaka–Krein duality for these structures.

Applied Categorical StructuresVol. 32(5)
Philipps University of Marburg (DE), Technische Universität Dresden (DE)
Technische Universität Dresden
Openalex Percentile: Top 26%
Algebraic structures and combinatorial models
1.01
DOIOpen Access PDFOpenAlex
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Diagrammatics for Comodule Monads — Sebastian Halbig, Tony Zorman · Applied Categorical Structures (2024) | TGRS Research Map | TGRS