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
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.File in questo prodotto:
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