Journal of East China Normal University(Natural Science) >

2021 , Vol. 2021 >Issue 6: 33 - 37

DOI: https://doi.org/10.3969/j.issn.1000-5641.2021.06.004

Mathematics

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

  • Hongmei HU
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  • School of Mathematical Sciences, Suzhou University of Science and Technology, Suzhou Jiangsu　 215009, China

Received date: 2020-06-30

  Online published: 2021-11-26

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Abstract

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

Cite this article

Hongmei HU . Braided vector algebra $ V(R',R) $ [J]. Journal of East China Normal University(Natural Science), 2021 , 2021(6) : 33 -37 . DOI: 10.3969/j.issn.1000-5641.2021.06.004

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