Exterior powers of the adjoint representation and the Weyl ring of E8
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DOI: 10.1016/j.jalgebra.2020.01.020
Abstract: 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 $\wedge^k \mathfrak{e}_8$ is an arbitrary exterior power of the adjoint representation and… read more here.
Keywords: weyl ring; powers adjoint; adjoint representation; representation ... See more keywords