Article

the q-commutators of braided groups

  • HU Hong-Mei
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Received date: 2015-04-27

  Online published: 2016-03-10

Abstract

With the standard R-matrices and suitably chosen a pair of dual braided groups, the authors gave the rank-inductive constructions of U_q}(\mathfrakg}}) for the ABCD series via the double-bosonization theory in [1]. This paper described explicitly the expressions for the generators of braided groups in the new higher rank-one quantum groups in these constructions, which are the q-commutators with the simple root vectors. These q-commutators are very important to the structure of new quantum groups.

Cite this article

HU Hong-Mei . the q-commutators of braided groups[J]. Journal of East China Normal University(Natural Science), 2016 , 2016(1) : 9 -18 . DOI: 10.3969/j.issn.1000-5641.2016.01.002

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