UCL Discovery
UCL home » Library Services » Electronic resources » UCL Discovery

Interacting Hopf algebras

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. Green open access

[img]
Preview
Text
Zanasi_paperJPAAL.pdf - Accepted version

Download (2MB) | Preview

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 > Provost and Vice Provost Offices
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
Downloads since deposit
47Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item