The Tannaka representation theorem for separable Frobenius functors
Dimitri Chikhladze
TL;DR
This paper explores the Tannaka representation theorem for weak bialgebras, connecting it with bialgebroids and developing a theorem using a separable Frobenius fiber functor.
Contribution
It establishes a Tannaka representation theorem for weak bialgebras via separable Frobenius fiber functors, linking bialgebroids and Tannaka theory.
Findings
Derived a Tannaka representation theorem for weak bialgebras
Connected weak bialgebras with bialgebroids through Tannaka theory
Extended Tannaka theory using separable Frobenius fiber 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 [4]. We obtain a Tannaka representation theorem with respect to a separable Frobenius fiber functor.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology