On the classification of easy quantum groups

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• 作者：Moritz Weber
• 关键词：primary ; 46L65 ; secondary ; 46L54 ; 17B37 ; 16T30 ; 05E10 ; 20G42
• 刊名：Advances in Mathematics
• 出版年：2013
• 出版时间：1 October, 2013
• 年：2013
• 卷：245
• 期：Complete
• 页码：500-533
• 全文大小：400 K

文摘

In 2009, Banica and Speicher began to study the compact quantum groups with 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 , , , , and split into seven cases , , , , , and on the side of free easy quantum groups. Also, we give a complete classification in the half-liberated and in the nonhyperoctahedral case.