Invariance Properties of the Exceptional Quantum Mechanics (F 4) and Its Generalization to Complex Jordan Algebras (E 6)

Autor:	Yoon Seok Choun, Levent Kurt, Sultan Catto
Rok vydání:	2013
Předmět:	Quantum affine algebra Pure mathematics Jordan algebra Quantum group High Energy Physics::Lattice Mathematics::Rings and Algebras High Energy Physics::Phenomenology Current algebra Octonion Algebra representation Cellular algebra High Energy Physics::Experiment Split-octonion Mathematics
Zdroj:	Springer Proceedings in Mathematics & Statistics ISBN: 9784431542698
Popis:	We consider a case in which the octonionic observables form a Jordan Algebra. Then the automorphism group turns out to be an exceptional group F 4 or E 6 and we are led to a gauge field theory of quarks and leptons based on exceptional groups. Some relations of octonion and split octonion algebras and their relation to algebra of quarks are explicitly shown.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c0a03e753fc8e8729e530d1456c296d2 https://doi.org/10.1007/978-4-431-54270-4_34 Zobrazit plný text záznamu