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arXiv · 2107.05882

Classification of real simple symplectic triple systems

Cristina Draper·Alberto Elduque
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Abstract

The simple symplectic triple systems over the real numbers are classified up to isomorphism, and linear models of all of them are provided. Besides the split cases, one for each complex simple Lie algebra, there are two kinds of non-split real simple symplectic triple systems with classical enveloping algebra, called unitarian and quaternionic types, and five non-split real simple symplectic triple systems with exceptional enveloping algebra.

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Cristina Draper, Alberto Elduque. 2021-07-13. Classification of real simple symplectic triple systems. https://doi.org/10.1007/s13324-022-00677-7

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