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arxiv: math/9909001 · v1 · pith:RDTRHUJ2new · submitted 1999-09-01 · 🧮 math.QA · math-ph· math.MP

Realisations of Quantum GL_p,q(2) and Jordanian GL_h,h'(2)

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keywords jordanianquantumgroupalgebraanaloguecasecontractcontraction
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The quantum group GL_p,q(2) is known to be related to the Jordanian GL_h,h'(2) via a contraction procedure. It can also be realised using the generators of the Hopf algebra G_r,s. We contract the G_r,s quantum group to obtain its Jordanian analogue G_m,k, which provides a realisation of GL_h,h'(2) in a manner similar to the q-deformed case.

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