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arXiv · 1710.05375

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

Nicoletta Cantarini·Antonio Ricciardo·Andrea Santi
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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.

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Nicoletta Cantarini, Antonio Ricciardo, Andrea Santi. 2017-10-15. Classification of simple linearly compact Kantor triple systems over the complex numbers. https://doi.org/10.1016/j.jalgebra.2018.08.009

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