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arXiv · math/9901132

Duality for the G_r,s Quantum Group

Deepak Parashar·Roger J. McDermott
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Abstract

The 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).

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BibTeXRIS

Deepak Parashar, Roger J. McDermott. 1999-11-29. Duality for the G_r,s Quantum Group. https://arxiv.org/abs/math/9901132

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