Classification of simple linearly compact Kantor triple systems over the complex numbers

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.

arXiv comment46 pages, 3 tables; v2: Major revision of the introduction; v3: Final version to appear in Journal of Algebra

References in corpus (6)

• Conformal and Quasiconformal Realizations of Exceptional Lie Groups
• Black holes admitting a Freudenthal dual
• A realization of the Lie algebra associated to a Kantor triple system
• N=5 three-algebras and 5-graded Lie superalgebras
• Weyl images of Kantor pairs
• On The Kantor Product

Cited by in corpus (5)

• The Geometry of Exceptional Super Yang-Mills Theories
• The Magic of Being Exceptional
• Exceptional Periodicity and Magic Star Algebras. II : Gradings and HT-Algebras
• Classification of real simple symplectic triple systems
• Vinberg's T-Algebras. From Exceptional Periodicity to Black Hole Entropy