Title
Interacting Hopf algebras
Abstract
We introduce the theory IHR of interacting Hopf algebras, parametrised over a principal ideal domain R. The axioms of IHR 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 IHR is isomorphic to the PROP of linear relations (i.e. subspaces) over the field of fractions of R.
Year
DOI
Venue
2014
10.1016/j.jpaa.2016.06.002
Journal of Pure and Applied Algebra
Field
DocType
Volume
Field of fractions,Topology,Algebra,Pure mathematics,Isomorphism,Frobenius algebra,Quasitriangular Hopf algebra,Representation theory of Hopf algebras,Hopf algebra,Mathematics,Quantum group,Principal ideal domain
Journal
221
Issue
ISSN
Citations 
1
0022-4049
5
PageRank 
References 
Authors
0.57
13
3
Name
Order
Citations
PageRank
Filippo Bonchi157947.04
Paweł Sobociński260945.57
Fabio Zanasi311013.89