Projectors on invariant subspaces of representations ${\mathrm{ad}}^{\otimes 2}$ of Lie algebras $so(N)$ and $sp(2r)$ and Vogel parametrization

A. P. Isaev, A. A. Provorov

Explicit formulae for the projectors onto invariant subspaces of the ${\mathrm{ad}}^{\otimes 2}$ representation of the Lie algebras $so(N)$ and $sp(2r)$ have been found by mean…