On the PROP corresponding to bialgebras

Teimuraz Pirashvili

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arXiv · math/0110014

On the PROP corresponding to bialgebras

Teimuraz Pirashvili

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Abstract

A PROP is a symmetric monoidal category, whose set of objects is the set of natural numbers and on objects the monoidal structure is given by the addition. An algebra over a PROP is a symmetric strict monoidal functor to the tensor category of vector spaces. We give an explicite construction of the PROP whose category of algebras is equivalent to the category of bialgebras (= associative and coassociative bialgebras).

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BibTeX RIS

Teimuraz Pirashvili. 2001-10-03. On the PROP corresponding to bialgebras. https://arxiv.org/abs/math/0110014

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