The Tannaka representation theorem for separable Frobenius functors

Dimitri Chikhladze

doi:10.1007/s10468-011-9285-3

The Tannaka representation theorem for separable Frobenius functors

Dimitri Chikhladze

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

A weak bialgebra is known to be a special case of a bialgebroid. In this paper we study the relationship of this fact with the Tannaka theory of bialgebroids as developed in Phung Ho Hai (Isr J Math 167(1):193-225, 2008). We obtain a Tannaka representation theorem with respect to a separable Frobenius fiber functor.

Original language	English
Pages (from-to)	1205-1213
Number of pages	9
Journal	Algebras and Representation Theory
Volume	15
Issue number	6
DOIs	https://doi.org/10.1007/s10468-011-9285-3
Publication status	Published - 2012

Keywords

Weak bialgebra
Tannaka theory
Monoidal category

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10.1007/s10468-011-9285-3

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title = "The Tannaka representation theorem for separable Frobenius functors",

abstract = "A weak bialgebra is known to be a special case of a bialgebroid. In this paper we study the relationship of this fact with the Tannaka theory of bialgebroids as developed in Phung Ho Hai (Isr J Math 167(1):193-225, 2008). We obtain a Tannaka representation theorem with respect to a separable Frobenius fiber functor.",

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KW - Weak bialgebra

KW - Tannaka theory

KW - Monoidal category

U2 - 10.1007/s10468-011-9285-3

DO - 10.1007/s10468-011-9285-3

M3 - Article

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JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

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The Tannaka representation theorem for separable Frobenius functors

Abstract

Keywords

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