|
Triality for Homogeneous Polynomials
Laura P. Schaposnika, Sebastian Schulzb a University of Illinois at Chicago, USA
b University of Texas at Austin, USA
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.
Keywords:
triality, Higgs bundles, invariant polynomials.
Received: February 15, 2021; in final form August 18, 2021; Published online August 27, 2021
Citation:
Laura P. Schaposnik, Sebastian Schulz, “Triality for Homogeneous Polynomials”, SIGMA, 17 (2021), 079, 14 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1761 https://www.mathnet.ru/eng/sigma/v17/p79
|
Statistics & downloads: |
Abstract page: | 45 | Full-text PDF : | 9 | References: | 5 |
|