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.

Classification of simple linearly compact Kantor triple systems over the complex numbers / Cantarini, Nicoletta; Ricciardo, Antonio; Santi, Andrea. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - ELETTRONICO. - 514:(2018), pp. 468-535. [10.1016/j.jalgebra.2018.08.009]

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

Cantarini, Nicoletta
;
RICCIARDO, ANTONIO
;
Santi, Andrea
2018

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.
2018
Classification of simple linearly compact Kantor triple systems over the complex numbers / Cantarini, Nicoletta; Ricciardo, Antonio; Santi, Andrea. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - ELETTRONICO. - 514:(2018), pp. 468-535. [10.1016/j.jalgebra.2018.08.009]
Cantarini, Nicoletta; Ricciardo, Antonio; Santi, Andrea
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/665694
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