Orthogonal Idempotents in Symmetric Tensor Powers of Composition Algebras

Aharon Razon

We explicitly find a complete set of $\frac{1}{4}(n+2{)}^2$ (resp. $\frac{1}{4}(n+1)(n+3)$) primitive orthogonal idempotents in ${\mathrm{Sym}}^n\mathbb{H}{\otimes }_{\mathbb{R}}\mathbb{C}$ if $n$…