Gluing compact matrix quantum groups
Quantum Algebra
2022-02-08 v2 Operator Algebras
Abstract
We study glued tensor and free products of compact matrix quantum groups with cyclic groups -- so-called tensor and free complexifications. We characterize them by studying their representation categories and algebraic relations. In addition, we generalize the concepts of global colourization and alternating colourings from easy quantum groups to arbitrary compact matrix quantum groups. Those concepts are closely related to tensor and free complexification procedures. Finally, we also study a more general procedure of gluing and ungluing.
Cite
@article{arxiv.2006.13656,
title = {Gluing compact matrix quantum groups},
author = {Daniel Gromada},
journal= {arXiv preprint arXiv:2006.13656},
year = {2022}
}
Comments
36 pages; minor corrections