Two-Parameter Quantum Groups and Drinfel'd Doubles

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dc.creatorBenkart, Georgia
dc.creatorWitherspoon, Sarah
dc.date2000-11-09
dc.date2001-08-06
dc.date.accessioned2026-07-07T04:38:31Z
dc.date.available2026-07-07T04:38:31Z
dc.descriptionWe investigate two-parameter quantum groups corresponding to the general linear and special linear Lie algebras gl_n and sl_n. We show that these quantum groups can be realized as Drinfel'd doubles of certain Hopf subalgebras with respect to Hopf pairings. Using the Hopf pairing, we construct a corresponding R-matrix and a quantum Casimir element. We discuss isomorphisms among these quantum groups and connections with multiparameter quantum groups.
dc.description26 pages, AMS-TeX. Paper rewritten, new material added, some results appear in "Representations of Two-Parameter Quantum Groups and Schur-Weyl Duality"
dc.identifierhttps://arxiv.org/abs/math/0011064
dc.identifierhttp://arxiv.org/abs/math/0011064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60312
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subjectRings and Algebras
dc.subject17B37, 16W30, 16W35, 81R50
dc.titleTwo-Parameter Quantum Groups and Drinfel'd Doubles
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