Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6425841 | Advances in Mathematics | 2013 | 34 Pages |
Abstract
In 2009, Banica and Speicher began to study the compact quantum groups G with SnâGâOn+ whose intertwiner spaces are induced by some partitions. These so-called easy quantum groups have a deep connection to combinatorics. We continue their work on classifying these objects, by introducing some new examples of easy quantum groups. In particular, we show that the six easy groups On, Sn, Hn, Bn, Snâ² and Bnâ² split into seven cases On+, Sn+, Hn+, Bn+, Snâ²+, Bnâ²+ and Bn#+ on the side of free easy quantum groups. Also, we give a complete classification in the half-liberated and in the nonhyperoctahedral case.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Moritz Weber,