Triality for Homogeneous Polynomials

Abstract

Through the triality of $\mathrm{SO}(8,\mathbb{C})$, we study three interrelated homogeneous basis of the ring of invariant polynomials of Lie algebras, which give the basis of three Hitchin fibrations, and identify the explicit automorphisms that relate them.

References in corpus (3)

• Exceptional Lie groups
• Spectral data for G-Higgs bundles
• Le lemme fondamental pour les algebres de Lie