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Realisations of Quantum GLp,q(2) and Jordanian GLh,h'(2)

Deepak Parashar, Roger J. McDermott

math.QAarXiv:math/9909001

Abstract

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

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