Triality for Homogeneous Polynomials

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• ISSN: 1815-0659
• Main Authors: Schaposnik, Laura P., Schulz, Sebastian
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211344
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Triality for Homogeneous Polynomials. Laura P. Schaposnik and Sebastian Schulz. SIGMA 17 (2021), 079, 14 pages

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