Classification of simple linearly compact Kantor triple systems over the complex numbers
Quantum Algebra
2019-05-31 v3 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.1710.05375,
title = {Classification of simple linearly compact Kantor triple systems over the complex numbers},
author = {Nicoletta Cantarini and Antonio Ricciardo and Andrea Santi},
journal= {arXiv preprint arXiv:1710.05375},
year = {2019}
}
Comments
46 pages, 3 tables; v2: Major revision of the introduction; v3: Final version to appear in Journal of Algebra