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Exceptional Periodicity and Magic Star Algebras. II : Gradings and HT-Algebras

Published 16 Oct 2019 in math.RT, hep-th, math-ph, math.MP, and math.RA | (1910.07914v1)

Abstract: We continue the study of Exceptional Periodicity and Magic Star algebras, which provide non-Lie, countably infinite chains of finite dimensional generalizations of exceptional Lie algebras. We analyze the graded algebraic structures arising in the Magic Star projection, as well as the Hermitian part of rank-3 Vinberg's matrix algebras (which we dub HT-algebras), occurring on each vertex of the Magic Star.

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