Gluing compact matrix quantum groups

DOI10.1007/S10468-020-10010-0arXiv2006.13656MaRDI QIDQ6343626

Publication date: 24 June 2020

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.

Mathematics Subject Classification ID

Quantum groups (quantized function algebras) and their representations (20G42) Monoidal categories, symmetric monoidal categories (18M05) Quantum groups (operator algebraic aspects) (46L67)

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