Universal Quantum (Semi)groups and Hopf Envelopes

  title={Universal Quantum (Semi)groups and Hopf Envelopes},
  author={Marco A. Farinati},
  journal={Algebras and Representation Theory},
  • M. Farinati
  • Published 23 August 2020
  • Mathematics
  • Algebras and Representation Theory
We prove that, in case $A(c)$ = the FRT construction of a braided vector space $(V,c)$ admits a weakly Frobenius algebra $\mathfrak B$ (e.g. if the braiding is rigid and its Nichols algebra is finite dimensional), then the Hopf envelope of $A(c)$ is simply the localization of $A(c)$ by a single element called the quantum determinant associated to the weakly Frobenius algebra. This generalizes a result of the author together with Gast\'on A. Garc\'ia in \cite{FG}, where the same statement was… 
2 Citations
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