Functors for Long dimodules and Yetter–Drinfeld modules in a weak setting
José Nicanor Alonso Álvarez
Universidade de Vigo, SpainRamón González Rodríguez
Universidade de Vigo, Spain
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Abstract
In this paper, for two weak Hopf monoids and with invertible antipode, we define a functor between the category of left-left -Yetter–Drinfeld modules and the category of --Long dimodules. We also show that, if moreover is quasitriangular and is coquasitriangular, this functor is a retraction of the well-known injective functor between left-left --Long dimodules and left-left -Yetter–Drinfeld modules.
Cite this article
José Nicanor Alonso Álvarez, Ramón González Rodríguez, Functors for Long dimodules and Yetter–Drinfeld modules in a weak setting. Rend. Sem. Mat. Univ. Padova 150 (2023), pp. 247–266
DOI 10.4171/RSMUP/125