Frobenius monads and pseudomonoids

Ross Street

doi:10.1063/1.1788852

Frobenius monads and pseudomonoids

Ross Street

Research output: Contribution to journal › Review article › peer-review

61 Citations (Scopus)

Abstract

Six equivalent definitions of Frobenius algebra in a monoidal category are provided. In a monoidal bicategory, a pseudoalgebra is Frobenius if and only if it is star autonomous. Autonomous pseudoalgebras are also Frobenius. What it 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 Monta equivalence." Wreath products of Frobenius algebras are discussed.

Original language	English
Pages (from-to)	3930-3948
Number of pages	19
Journal	Journal of Mathematical Physics
Volume	45
Issue number	10
DOIs	https://doi.org/10.1063/1.1788852
Publication status	Published - Oct 2004

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10.1063/1.1788852

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AB - Six equivalent definitions of Frobenius algebra in a monoidal category are provided. In a monoidal bicategory, a pseudoalgebra is Frobenius if and only if it is star autonomous. Autonomous pseudoalgebras are also Frobenius. What it 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 Monta equivalence." Wreath products of Frobenius algebras are discussed.

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Frobenius monads and pseudomonoids

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