In and around the origin of quantum groups

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dc.creatorJones, Vaughan F. R.
dc.date2003-09-11
dc.date.accessioned2026-07-07T05:01:04Z
dc.date.available2026-07-07T05:01:04Z
dc.descriptionQuantum groups were invented largely to provide solutions of the Yang-Baxter equation and hence solvable models in 2-dimensional statistical mechanics and one-dimensional quantum mechanics. They have been hugely successful. But not all Yang-Baxter solutions fit into the framework of quantum groups. We shall explain how other mathematical structures, especially subfactors, provide a language and examples for solvable models. The prevalence of the Connes tensor product of Hilbert spaces over von Neumann algebras leads us to speculate concerning its potential role in describing entangled or interacting quantum systems.
dc.description36 pages
dc.identifierhttps://arxiv.org/abs/math/0309199
dc.identifierhttp://arxiv.org/abs/math/0309199
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68543
dc.subjectOperator Algebras
dc.subjectMathematical Physics
dc.subjectPrimary: 46L37, 17B37; Secondary: 81P15, 82B20, 57M25
dc.titleIn and around the origin of quantum groups
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