Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11001733 | Nuclear Physics B | 2018 | 14 Pages |
Abstract
Recently Pascal Baseilhac and Stefan Kolb introduced some automorphisms T0, T1 of the q-Onsager algebra Oq, that are roughly analogous to the Lusztig automorphisms of Uq(slË2). We use T0,T1 and a certain antiautomorphism of Oq to obtain an action of the free product Z2âZ2âZ2 on Oq as a group of (auto/antiauto)-morphisms. The action forms a pattern much more symmetric than expected. We show that a similar phenomenon occurs for the associated current algebra Aq. We give some conjectures and problems concerning Oq and Aq.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Paul Terwilliger,