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We continue the study undertaken in [13] of the relevance of the exceptional Jordan algebra $J^8_3$ of hermitian $3\times 3$ octonionic matrices for the description of the internal space of the fundamental fermions of the Standard Model with 3 generations.
On a certain algebra of quantum mechanics
A.A. Albert · 1934
Earlier work this paper cites.
On an algebraic generalization of the quantum mechanical formalism
P. Jordan, J. von Neumann, and E. Wigner · 1934
Earlier work this paper cites.
Structure and representations of Jordan algebras
N. Jacobson · 1968
Earlier work this paper cites.
Quark structure and octonions
M. Günaydin and F. Gürsey · 1973
Earlier work this paper cites.
Quark statistics and octonions
M. Günaydin and F. Gürsey · 1974
Earlier work this paper cites.
Structure groups and Lie algebras of Jordan algebras with involution
N. Jacobson · 1976
Earlier work this paper cites.
Moufang plane and octionic quantum mechanics
M. Günaydin, C. Piron, and H. Ruegg · 1978
Earlier work this paper cites.
Exceptional gauge groups and quantum theory
L.P. Horwitz and L.C. Biedenharn · 1979
Earlier work this paper cites.
Spin (8), triality, F 4 {F}_{4} and all that
J.F. Adams · 1980
Earlier work this paper cites.
Gauge bosons in a non-commutative geometry
M. Dubois-Violette, R. Kerner, and J. Madore · 1989
Earlier work this paper cites.
Particle models and noncommutative geometry
A. Connes and J. Lott · 1990
Earlier work this paper cites.
Non–commutative differential geometry and new models of gauge theory
M. Dubois-Violette, R. Kerner, and J. Madore · 1990
Cited alongside, same era.
Non–commutative differential geometry, quantum mechanics and gauge theory
M. Dubois-Violette · 1991
Cited alongside, same era.
Division algebras: Octonions, quaternions, complex numbers and the algebraic design of physics
G.M. Dixon · 1994
Cited alongside, same era.
An introduction to non associative algebras
R.D. Schafer · 1995
Cited alongside, same era.
On the role of division, Jordan and related algebras in particle physics
F. Gürsey and C.-H. Tze · 1996
Cited alongside, same era.
The spectral action principle
A. Chamseddine and A. Connes · 1997
Cited alongside, same era.
Exeptional groups in physics
P. Ramond · 2003
Later among the works it cites.
A taste of Jordan algebras
K. McCrimmon · 2004
Later among the works it cites.
Gravity and the standard model with neutrino mixing
A.H. Chamseddine, A. Connes, and M. Marcolli · 2007
Later among the works it cites.
Jordan structures in analysis, geometry and physics
R. Iordanescu · 2009
Later among the works it cites.
Exceptional Lie groups
I. Yokota · 2009
Later among the works it cites.
Exceptional quantum geometry and particle physics
M. Dubois-Violette · 2016
Later among the works it cites.
Octonions, exceptional Jordan algebra and the role of the group F 4 {F}_{4} in particle physics
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The geometry of Jordan and Lie structures
W. Bertram · 2000
Cited alongside, same era.
Lectures on graded differential algebras and noncommutative geometry
M. Dubois-Violette · 2001
Cited alongside, same era.
The octonions
J. Baez · 2002
Cited alongside, same era.
Noncommutative finite-dimensional manifolds. I. Spherical manifolds and related examples
A. Connes and M. Dubois-Violette · 2002
Cited alongside, same era.
S U ( 3 ) c × S U ( 2 ) ℓ × U ( 1 ) Y ( × U ( 1 ) X ) {SU}(3)_{c}\times{SU}(2)_{\ell}\times{U}(1)_{Y}(\times{U}(1)_{X}) as a symmetry of division algebraic ladder operators
C. Furey
Cited in the paper.
The Jordan formulation of quantum mechanics : a review
P. Townsend
Cited in the paper.
I.T. Todorov and S. Drenska · 2017
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Differential calculus on Jordan algebra and Jordan modules
A. Carotenuto, Dabrowski L., and M. Dubois-Violette · 2018
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Noncommutative Euclidean spaces
M. Dubois-Violette and G. Landi · 2018
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Deducing the symmetry of the standard model from the automorphism and structure groups of the exceptional Jordan algebra
I.T. Todorov and M. Dubois-Violette · 2018
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