Duality for the G_r,s Quantum Group

dc.creatorParashar, Deepak
dc.creatorMcDermott, Roger J.
dc.date1999-01-28
dc.date1999-11-29
dc.date.accessioned2026-07-07T05:27:42Z
dc.date.available2026-07-07T05:27:42Z
dc.descriptionThe two parameter quantum group G_r,s is generated by five elements, four of which form a Hopf subalgebra isomorphic to GL_q(2), while the fifth generator relates G_r,s to GL_p,q(2). We construct explicitly the dual algebra of G_r,s and show that it is isomorphic to the single parameter deformation of gl(2) + gl(1), with the second parameter appearing in the costructure. We also formulate a differential calculus on G_r,s which provides a realisation of the calculus on GL_p,q(2).
dc.description25 pages LaTeX, Includes the R- matrix approach and related differential calculus
dc.identifierhttps://arxiv.org/abs/math/9901132
dc.identifierhttp://arxiv.org/abs/math/9901132
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78015
dc.subjectQuantum Algebra
dc.titleDuality for the G_r,s Quantum Group
dc.typetext

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