Exterior powers of the adjoint representation and the Weyl ring of $E_8$

Andrea Brini

I derive explicitly all polynomial relations in the character ring of $E_8$ of the form ${\chi }_{{\wedge }^k{\mathfrak{e}}_8}-{\mathfrak{p}}_k({\chi }_1,\dots ,{\chi }_8)=0$, where $\wedge^k \m…