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Interacting Hopf Algebras

Authors :
Bonchi, Filippo
Sobocinski, Pawel
Zanasi, Fabio
Publication Year :
2014

Abstract

We introduce the theory IH of interacting Hopf algebras, parametrised over a principal ideal domain R. The axioms of IH are derived using Lack's approach to composing PROPs: they feature two Hopf algebra and two Frobenius algebra structures on four different monoid-comonoid pairs. This construction is instrumental in showing that IH is isomorphic to the PROP of linear relations (i.e. subspaces) over the field of fractions of R.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1403.7048
Document Type :
Working Paper
Full Text :
https://doi.org/10.1016/j.jpaa.2016.06.002