Algebras satisfying symmetric triality relations are shown to lead to a construction of Lie algebras that will give Freudenthal's magic square. Some examples of these algebras are given and studied.
机构:
Mathematical Science Research Unit, College of Liberal Arts, Muroran Institute of Technology, 27-1, Mizumoto, Muroran, 050-8585, HokkaidoMathematical Science Research Unit, College of Liberal Arts, Muroran Institute of Technology, 27-1, Mizumoto, Muroran, 050-8585, Hokkaido
Farrokhi D. G M.
Moghaddam M.R.R.
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机构:
Department of Pure Mathematics, Centre of Excellence in Analysis on Algebraic Structures, Ferdowsi University of Mashhad, Mashhad
Department of Mathematics, Khayyam University, MashhadMathematical Science Research Unit, College of Liberal Arts, Muroran Institute of Technology, 27-1, Mizumoto, Muroran, 050-8585, Hokkaido