%A Hongmei HU
%T Braided vector algebra $ V(R',R) $
%0 Journal Article
%D 2021
%J Journal of East China Normal University(Natural Science)
%R 10.3969/j.issn.1000-5641.2021.06.004
%P 33-37
%V 2021
%N 6
%U {https://xblk.ecnu.edu.cn/CN/abstract/article_25943.shtml}
%8 2021-11-25
%X 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)$ .