BINARY AND TERNARY CLIFFORD ANALYSIS ON NONION ALGEBRA AND SU(3)

Suzuki, Osamu; Lawrynowicz, Julian; Nouno, Kiyoharu; Nagayama, Daiki

A concept of non-commutative Galois extension is introduced and binary and ternary extensions are chosen. Non-commutative Galois extensions of Nonion algebra and su(3) are constructed. Then ternary and binary Clifford analysis are introduced for non-commutative Galois extensions and the corresponding Dirac operators are associated.

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Suzuki, O., Lawrynowicz, J., Nouno, K., Nagayama, D., 2012. BINARY AND TERNARY CLIFFORD ANALYSIS ON NONION ALGEBRA AND SU(3).
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