caa a22 4500 463196627 CHVBK 20180406164924.0 cr unu---uuuuu 170326e20071001xx s 000 0 eng 10.1007/s10773-007-9362-x doi (NATIONALLICENCE)springer-10.1007/s10773-007-9362-x Isotopic Liftings of Clifford Algebras and Applications in Elementary Particle Mass Matrices [Elektronische Daten] [R. da Rocha, J. Vaz Jr.] Isotopic liftings of algebraic structures are investigated in the context of Clifford algebras, where it is defined a new product involving an arbitrary, but fixed, element of the Clifford algebra. This element acts as the unit with respect to the introduced product, and is called isounit. We construct isotopies in both associative and non-associative arbitrary algebras, and examples of these constructions are exhibited using Clifford algebras, which although associative, can generate the octonionic, non-associative, algebra. The whole formalism is developed in a Clifford algebraic arena, giving also the necessary pre-requisites to introduce isotopies of the exterior algebra. The flavor hadronic symmetry of the six u,d,s,c,b,t quarks is shown to be exact, when the generators of the isotopic Lie algebra $\mathfrak {su}(6)$ are constructed, and the unit of the isotopic Clifford algebra is shown to be a function of the six quark masses. The limits constraining the parameters, that are entries of the representation of the isounit in the isotopic group SU(6), are based on the most recent limits imposed on quark masses. Springer Science+Business Media, LLC, 2007 da Rocha R. Centro de Matemática, Computação e Cognição, Universidade Federal do ABC, 09210-170, Santo André, SP, Brazil aut Vaz Jr. J. Departamento de Matemática Aplicada, IMECC, Unicamp, CP 6065, 13083-859, Campinas, SP, Brazil aut International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/10(2007-10-01), 2464-2487 0020-7748 46:10<2464 2007 46 10773 https://doi.org/10.1007/s10773-007-9362-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-007-9362-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- da Rocha R. Centro de Matemática, Computação e Cognição, Universidade Federal do ABC, 09210-170, Santo André, SP, Brazil aut NATIONALLICENCE 700 1- Vaz Jr J. Departamento de Matemática Aplicada, IMECC, Unicamp, CP 6065, 13083-859, Campinas, SP, Brazil aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/10(2007-10-01), 2464-2487 0020-7748 46:10<2464 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer