On the PROP corresponding to bialgebras
范畴论
2007-05-23 v3 量子代数
摘要
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).
引用
@article{arxiv.math/0110014,
title = {On the PROP corresponding to bialgebras},
author = {Teimuraz Pirashvili},
journal= {arXiv preprint arXiv:math/0110014},
year = {2007}
}