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

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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… Click to show full abstract

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.

Keywords: triple systems; simple linearly; kantor; kantor triple; complex numbers; systems complex

Journal Title: Journal of Algebra
Year Published: 2018

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