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

the q-commutators of braided groups

doi: 10.3969/j.issn.1000-5641.2016.01.002
  • Received Date: 2015-04-27
  • Publish Date: 2016-01-25
  • 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.
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  • [1]
     [1]HU H M, HU N H. Double-bosonization and Majid's conjecture, (I):rank-induction of $ABCD$ [J/OL]. Journal of Mathematics and Physics,2015, 56(111702); http://dx.doi.org/10.1063/1.4935205.
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