Notes on Drinfeld twists of multiplier Hopf algebras

Tao Yang, Zhi Chen, Xiaoyan Zhou Colloquium Mathematicum MSC: Primary 16T05; Secondary 16T99, DOI: 10.4064/cm7545-8-2018 Opublikowany online: 31 May 2019

Streszczenie

This paper determines how the integral changes under a Drinfeld twist in multiplier Hopf algebras. For a multiplier Hopf algebra $A$ with a Drinfeld twist $J$, we construct a new multiplier Hopf algebra $A^{J}$. If $A$ is quasitriangular, then so is $A^{J}$. Finally, for a counimodular algebraic quantum group $A$, $A^{J}$ is an algebraic quantum group, and as an application we give a formula for integrals of $H^{J}$, where $H$ is an infinite-dimensional counimodular coFrobenius Hopf algebra.

Autorzy

  • Tao YangDepartment of Mathematics
    Nanjing University
    Nanjing 210093, Jiangsu, China
    e-mail
  • Zhi ChenCollege of Science
    Nanjing Agricultural University
    Nanjing 210095, Jiangsu, China
    e-mail
  • Xiaoyan ZhouDepartment of Mathematics
    Nanjing University
    Nanjing 210093, Jiangsu, China
    e-mail

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