Journal of East China Normal University(Natural Science) ›› 2021, Vol. 2021 ›› Issue (6): 33-37.doi: 10.3969/j.issn.1000-5641.2021.06.004

• Mathematics • Previous Articles     Next Articles

Braided vector algebra $ V(R',R) $

Hongmei HU()   

  1. School of Mathematical Sciences, Suzhou University of Science and Technology, Suzhou Jiangsu  215009, China
  • Received:2020-06-30 Online:2021-11-25 Published:2021-11-26


Braided vector algebras are an important class of Hopf algebras in braided tensor categories. In this paper, it is shown that braided vector algebras are isomorphic to quantum vector spaces as associative algebras; hence, the algebraic structure of braided vector algebras and three equalities of the pair $ (R',R)$ are recovered from representations of quantized enveloping algebras $ U_q(\mathfrak g)$ .

Key words: braided vector algebras, R-matrices, braided tensor categories

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