unimodularity
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unimodularity [2019/09/13 13:38] d.gromada created |
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| ====== Unimodularity ====== | ====== Unimodularity ====== | ||
| - | Let $G$ be a compact quantum group. Denote by $S$ the antipode on $O(G)$, by $h$ the [[Haar state|Haar state]] of $G$. Then the following are equivalent | + | Let $G$ be a [[compact quantum group]]. Denote by $S$ the antipode on $\Pol G$, by $h$ the [[compact_quantum_group#haar_state|Haar state]] of $G$. Then the following are equivalent |
| - $h$ is a trace, | - $h$ is a trace, | ||
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| If those conditions are satisfied, we say $G$ is of **Kac type** or that $\hat G$ is **unimodular**. | If those conditions are satisfied, we say $G$ is of **Kac type** or that $\hat G$ is **unimodular**. | ||
| + | ===== Further reading ===== | ||
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| + | * Sergey Neshveyev, Lars Tuset, //Compact Quantum Groups and Their Representation Categories//, Société Mathématique de France, 2013. [[https://www.sciencesmaths-paris.fr/upload/Contenu/Fichiers_chaire/livre%20Sergey%20Neyshveyev.pdf|Available online]] | ||
unimodularity.1568381889.txt.gz · Last modified: 2021/11/23 11:56 (external edit)
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