The RFD and Kac quotients of the Hopf$^*$-algebras of universal orthogonal quantum groups

Das, Biswarup; Franz, Uwe; Skalski, Adam

doi:10.5802/ambp.402

The RFD and Kac quotients of the Hopf

^{*}

-algebras of universal orthogonal quantum groups

Das, Biswarup ¹ ; Franz, Uwe ² ; Skalski, Adam ³

¹ Instytut Matematyczny, Uniwersytet Wrocławski, pl.Grunwaldzki 2/4, 50-384 Wrocław, Poland
² Laboratoire de mathématiques de Besançon, Université de Bourgogne Franche-Comté, 16, route de Gray, 25 030 Besançon cedex, France
³ Institute of Mathematics of the Polish Academy of Sciences, ul. Śniadeckich 8, 00–656 Warszawa, Poland

Annales mathématiques Blaise Pascal, Tome 28 (2021) no. 2, pp. 141-155.

Résumé

We determine the Kac quotient and the RFD (residually finite dimensional) quotient for the Hopf $^{*}$ -algebras associated to universal orthogonal quantum groups.

Publié le : 2022-04-14

DOI : 10.5802/ambp.402

Classification : 16T05, 20G42
Mots clés : Hopf $^*$-algebra; RFD property; Kac quotient; universal orthogonal quantum groups

Affiliations des auteurs :

Das, Biswarup ¹ ; Franz, Uwe ² ; Skalski, Adam ³

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     author = {Das, Biswarup and Franz, Uwe and Skalski, Adam},
     title = {The {RFD} and {Kac} quotients of the {Hopf}$^*$-algebras of universal orthogonal quantum groups},
     journal = {Annales math\'ematiques Blaise Pascal},
     pages = {141--155},
     publisher = {Universit\'e Clermont Auvergne, Laboratoire de math\'ematiques Blaise Pascal},
     volume = {28},
     number = {2},
     year = {2021},
     doi = {10.5802/ambp.402},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/ambp.402/}
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Das, Biswarup; Franz, Uwe; Skalski, Adam. The RFD and Kac quotients of the Hopf$^*$-algebras of universal orthogonal quantum groups. Annales mathématiques Blaise Pascal, Tome 28 (2021) no. 2, pp. 141-155. doi : 10.5802/ambp.402. http://www.numdam.org/articles/10.5802/ambp.402/

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