Classification of real simple symplectic triple systems
Rings and Algebras
2022-05-16 v1
Abstract
The simple symplectic triple systems over the real numbers are classified up to isomorphism, and linear models of all of them are provided. Besides the split cases, one for each complex simple Lie algebra, there are two kinds of non-split real simple symplectic triple systems with classical enveloping algebra, called unitarian and quaternionic types, and five non-split real simple symplectic triple systems with exceptional enveloping algebra.
Cite
@article{arxiv.2107.05882,
title = {Classification of real simple symplectic triple systems},
author = {Cristina Draper and Alberto Elduque},
journal= {arXiv preprint arXiv:2107.05882},
year = {2022}
}
Comments
45 pages