Frobenius monads and pseudomonoids (2004)
by
Ross Street
| Venue: | 2-CATEGORIES COMPANION 73 |
| Citations: | 12 - 4 self |
BibTeX
@INPROCEEDINGS{Street04frobeniusmonads,
author = {Ross Street},
title = {Frobenius monads and pseudomonoids},
booktitle = {2-CATEGORIES COMPANION 73},
year = {2004},
pages = {3930--3948}
}
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Abstract
Six equivalent definitions of Frobenius algebra in a monoidal category are provided. In a monoidal bicategory, a pseudoalgebra is Frobenius if and only i f it is star autonomous. Autonomous pseudoalgebras are also Frobenius. What i t means for a morphism of a bicategory to be a projective equivalence is defined; this concept is related to "strongly separable " Frobenius algebras and "weak monoidal Morita equivalence". Wreath products of Frobenius algebras are discussed.
