科研之友
微信
新浪微博
Facebook
分享链接
摘要
Easy quantum groups form a class of compact matrix quantum groups which are completely determined by set partitions. They have been defined in 2009 by Banica and Speicher in the orthogonal case (as quantum subgroups of Wang's free orthogonal quantum group O-n(+)). We extend their definition to the unitary case (as quantum subgroups of Wang's free unitary quantum group U-n(+)) using colored partitions. In the free case (i.e., restricting to noncrossing partitions), the corresponding categories of partitions have recently been classified by the authors by purely combinatorial means. We show how the quantum groups associated with them can be constructed from other known examples using generalizations of Banica's free complexification. For doing so, we introduce new kinds of products between quantum groups.
- 出版日期2017-9
