Bonchi, F;
Sobocinski, P;
Zanasi, F;
(2017)
Interacting Hopf algebras.
Journal of Pure and Applied Algebra
, 221
(1)
pp. 144-184.
10.1016/j.jpaa.2016.06.002.
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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.
| Type: | Article |
|---|---|
| Title: | Interacting Hopf algebras |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.jpaa.2016.06.002 |
| Publisher version: | https://doi.org/10.1016/j.jpaa.2016.06.002 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1520751 |
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