category_of_all_two-colored_partitions
Table of Contents
Category of all two-colored partitions
The category of all two-colored partitions is a category of two-colored partitions inducing the co-representation categories of the symmetric groups.
Definition
By the category of all two-colored partitions one denotes the category of two-colored partitions 
whose morphism class is the set of all two-colored partitions. It was introduced by Tarrago and Weber in [TaWe18], Theorem 8.3 under the name 
.
A canonical generator of is the set 
.
Associated unitary easy quantum groups
The category of two-colored pair partitions with neutral blocks induces the co-representation categories of the symmetric groups 
.
References
[TaWe18]
Tarrago, Pierre and Weber, Moritz, February 2018. The classification of tensor categories of two-colored non-crossing partitions. Journal of Combinatorial Theory, Series A, 154, pp.464–506.
category_of_all_two-colored_partitions.txt · Last modified: 2021/11/23 11:56 (external edit)
Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Share Alike 4.0 International
