Diagrammatics for Comodule Monads-Reference-Cited by-同舟云学术

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Diagrammatics for Comodule Monads

Published:2024-08-29 Issue:5 Volume:32 Page:
ISSN:0927-2852
Container-title:Applied Categorical Structures
language:en
Short-container-title:Appl Categor Struct

Author:

Halbig Sebastian,Zorman Tony

Abstract

AbstractWe 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.

Funder

Technische Universität Dresden

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s10485-024-09778-9.pdf

Reference25 articles.

1. Aguiar, M., Chase, S.U.: Generalized Hopf modules for bimonads. Theory Appl. Categ. 27, 263–326 (2012)

2. Aguiar, M., Mahajan, S.: Monoidal Functors, Species and Hopf Algebras. In: Brown, K., Chase, S., Joyal, A. (eds.) forewords, vol. 29, p. 784. American Mathematical Society, Providence (2010). https://doi.org/10.1090/crmm/029

3. Bénabou, J.: Introduction to bicategories. In: Bénabou, J. et al., Reports of the Midwest Category Seminar. Lecture Notes in Mathematics. 47, pp. 1–77 (1967). https://doi.org/10.1007/BFb0074299

4. Bruguières, A., Lack, S., Virelizier, A.: Hopf monads on monoidal categories. Adv. Math. 227(2), 745–800 (2011). https://doi.org/10.1016/j.aim.2011.02.008

5. Boardman, J.M.: Stable operations in generalized cohomology. In: Handbook of Algebraic Topology, pp. 585–686. North-Holland, Amsterdam (1995). https://doi.org/10.1016/B978-044481779-2/50015-8

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