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 Bonchi | 1 | 579 | 47.04 |
Paweł Sobociński | 2 | 609 | 45.57 |
Fabio Zanasi | 3 | 110 | 13.89 |