English

Triality for Homogeneous Polynomials

Rings and Algebras 2021-08-30 v2 Differential Geometry Representation Theory

Abstract

Through the triality of SO(8,C){\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.

Keywords

Cite

@article{arxiv.2009.13573,
  title  = {Triality for Homogeneous Polynomials},
  author = {Laura P. Schaposnik and Sebastian Schulz},
  journal= {arXiv preprint arXiv:2009.13573},
  year   = {2021}
}
R2 v1 2026-06-23T18:51:31.929Z