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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
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
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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