Abstract
In this paper we introduce the idea of Galois extension for a class of associative algebras and discuss binary and ternary Clifford algebras by such an algebraic construction. Nonion algebra is characterized by Galois extensions and a ternary structure is proposed for \({\mathfrak{su}(3)}\) leading to a duality for certain binary and ternary differential operators.
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Trovon, A., Suzuki, O. Noncommutative Galois Extensions and Ternary Clifford Analysis. Adv. Appl. Clifford Algebras 27, 59–70 (2017). https://doi.org/10.1007/s00006-015-0565-6
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DOI: https://doi.org/10.1007/s00006-015-0565-6