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math-ph2000
Algebraic Investigation of the Soft Seven Sphere
Khaled Abdel-Khalek
We investigate the seven sphere as a soft Lie algebra i.e. an algebra with structure functions instead of structure constants. We calculate its structure functions explicitly and a…
math-ph2000
Beyond Octonions
Khaled Abdel-Khalek
We investigate Clifford Algebras structure over non-ring division algebras. We show how projection over the real field produces the standard Attiyah-Bott-Shapiro classification.