Differential geometry of the Lie algebra of the quantum plane |
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| Authors: | Salih Çelik Sultan A Çelik |
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| Institution: | (1) Department of Mathematics, Yildiz Technical University, 34210 Davutpasa-Esenler, Istanbul, Turkey |
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| Abstract: | We present a differential calculus on the extension of the quantum plane obtained by considering that the (bosonic) generator x is invertible and by working with polynomials in ln x instead of polynomials in x. We construct the quantum Lie algebra associated with this extension and obtain its Hopf algebra structure and its dual Hopf algebra. |
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| Keywords: | quantum plane Lie algebra Hopf algebra differential calculus quantum enveloping algebra |
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