Classification of simple linearly compact Kantor triple systems over the complex numbers
arXiv:1710.05375 · doi:10.1016/j.jalgebra.2018.08.009
Abstract
Simple finite dimensional Kantor triple systems over the complex numbers are classified in terms of Satake diagrams. We prove that every simple and linearly compact Kantor triple system has finite dimension and give an explicit presentation of all the classical and exceptional systems.
46 pages, 3 tables; v2: Major revision of the introduction; v3: Final version to appear in Journal of Algebra