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math.QA2020★ 5 cited
Free quantum analogue of Coxeter group
Daniel Gromada
We define the quantum group -- a free quantum version of the demihyperoctahedral group (the smallest representative of the Coxeter series ). In order to do so, we…
math.QA2020
Group-theoretical graph categories
Daniel Gromada
The semidirect product of a finitely generated group dual with the symmetric group can be described through so-called group-theoretical categories of partitions (covers only a spec…
math.QA2020★ 3 cited
Gluing compact matrix quantum groups
Daniel Gromada
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 r…