====== Classical orthogonal matrix group  ======

**Classical orthogonal matrix groups** are a particular class of [[easy_quantum_group|easy orthogonal quantum groups]]. There is also a corresponding notion of [[classical unitary matrix group]].

===== Definition =====

An [[easy_quantum_group|orthogonal easy quantum group]] $G\cong (C(G),u)$ with associated partition category $\Cscr\subseteq \Pscr$ is said to be **group case** if $\crosspart\in\Cscr$, i.e., if $\Cscr$ contains the [[category of all pair partitions]].