A Maximality Result for Orthogonal Quantum Groups

作者:Banica Teodor; Bichon Julien*; Collins Benoit; Curran Stephen
来源:Communications in Algebra, 2013, 41(2): 656-665.
DOI:10.1080/00927872.2011.633138

摘要

We prove that the quantum group inclusion is maximal, where On is the usual orthogonal group and is the half-liberated orthogonal quantum group, in the sense that there is no intermediate compact quantum group . In order to prove this result, we use the following: (1) the isomorphism of projective versions , (2) some maximality results for classical groups, obtained by using Lie algebras and some matrix tricks, and (3) a short five lemma for cosemisimple Hopf algebras.

  • 出版日期2013-2-1