On the representation theory of some noncrossing partition quantum groups
Amaury Freslon
TL;DR
This paper investigates the representation theory of specific noncrossing partition quantum groups, demonstrating the effectiveness of previously developed methods in analyzing complex quantum algebraic structures.
Contribution
It provides new insights into the representation theory of noncrossing partition quantum groups linked to amalgamated free products and free wreath products, showcasing novel applications of existing methods.
Findings
Computed the representation theory for two families of noncrossing partition quantum groups.
Showed the methods' efficiency in analyzing complex quantum structures.
Enhanced understanding of quantum groups related to free products and wreath products.
Abstract
We compute the representation theory of two families of noncrossing partition quantum groups connected to amalgamated free products and free wreath products. This illustrates the efficiency of the methods developed in our previous joint work with M. Weber.
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