Triality for Homogeneous Polynomials

Published 28 Sep 2020 in math.RA, math.DG, and math.RT | (2009.13573v2)

Abstract: Through the triality of ${\rm SO}(8,\mathbb{C})$, 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.

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