The weighted fusion category algebra and the q-Schur algebra for \mathrm{GL}_2(q)

Sejong Park

We show that the weighted fusion category algebra of the principal 2-block $b_0$ of ${\mathrm{GL}}_2(q)$ is the quotient of the $q$-Schur algebra ${\mathcal{S}}_2(q)$ by its socle, for…