Extensions of quantum enveloping algebras |
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| Authors: | Yan-yong Hong Zhi-xiang Wu |
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| Institution: | 1. Department of Mathematics, Zhejiang University, Hangzhou, 310027, China
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| Abstract: | In this paper, we define a class of extended quantum enveloping algebras U q (f(K, J)) and some new Hopf algebras, which are certain extensions of quantum enveloping algebras by a Hopf algebra H. This construction generalizes some well-known extensions of quantum enveloping algebras by a Hopf algebra and provides a large of new noncommutative and noncocommutative Hopf algebras. |
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| Keywords: | quantum enveloping algebra Kac-Moody algebra ambiskew polynomial ring |
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