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.

Cantarini, N., Ricciardo, A., Santi, A. (2018). Classification of simple linearly compact Kantor triple systems over the complex numbers. JOURNAL OF ALGEBRA, 514, 468-535 [10.1016/j.jalgebra.2018.08.009].

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

Santi, Andrea
2018-01-01

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
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MATH-02/A - Algebra
English
Con Impact Factor ISI
Freudenthal–Kantor
Jordan triple systems
Kantor triple systems
Lie algebras and related structures
Satake diagrams
Tits–Kantor–Koecher construction
Cantarini, N., Ricciardo, A., Santi, A. (2018). Classification of simple linearly compact Kantor triple systems over the complex numbers. JOURNAL OF ALGEBRA, 514, 468-535 [10.1016/j.jalgebra.2018.08.009].
Cantarini, N; Ricciardo, A; Santi, A
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/396283
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