INTERNAL NATURAL TRANSFORMATIONS AND FROBENIUS ALGEBRAS IN THE DRINFELD CENTER
نویسندگان
چکیده
Abstract For ℳ and $$ \mathcal{N} N finite module categories over a tensor category \mathcal{C} C , the \mathrm{\mathcal{R}}{ex}_{\mathcal{C}} ℛ ex (ℳ, ) of right exact functors is Drinfeld center \mathcal{Z} Z ( ). We study internal Homs this category, which we call natural transformations. With help certain integration that map - -bimodule to objects ), express them as ends define horizontal vertical compositions. show if are -modules pivotal, then )-module exact. compute its relative Serre functor even pivotal categories, well. Its Ends rich source for Frobenius algebras in
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ژورنال
عنوان ژورنال: Transformation Groups
سال: 2021
ISSN: ['1531-586X', '1083-4362']
DOI: https://doi.org/10.1007/s00031-021-09678-5