[math] \newcommand{\mathds}{\mathbb}[/math]

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Check the Brauer theorems for [math]O_N,U_N[/math], which are both of type

[[math]] Hom(u^{\otimes k},u^{\otimes l})=span\left(T_\pi\Big|\pi\in D(k,l)\right) [[/math]]

for small values of the global length parameter, [math]k+l\in\{1,2,3\}[/math].