Special Freudenthal-Kantor triple systems and Lie algebras with dicyclic symmetry
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algebrasdicyclicfreudenthal-kantorsystemstripleactionautomorphismsclose
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Lie algebras endowed with an action by automorphisms of the dicyclic group of degree 3 are considered. The close connections of these algebras with Lie algebras graded over the nonreduced root system BC1, with J-ternary algebras and with Freudenthal-Kantor triple systems are explored.
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