Triality for Homogeneous Polynomials
classification
🧮 math.RA
math.DGmath.RT
keywords
basishomogeneouspolynomialsthreetrialityalgebrasautomorphismsexplicit
read the original 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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