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Exceptional quantum geometry and particle physics [PDF]
Nuclear Physics B, 2016 Based on an interpretation of the quark–lepton symmetry in terms of the unimodularity of the color group SU(3) and on the existence of 3 generations, we develop an argumentation suggesting that the “finite quantum space” corresponding to the exceptional ...
Michel Dubois-Violette
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K-Bessel functions associated to a 3-rank Jordan algebra [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 Using the Bessel-Muirhead system, we can express the K-Bessel function defined on a Jordan algebra as a linear combination of the J-solutions. We determine explicitly the coefficients when the rank of this Jordan algebra is three after a reduction to the
Hacen Dib
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Stability of -Jordan Homomorphisms from a Normed Algebra to a Banach Algebra
Abstract and Applied Analysis, 2013 We establish the hyperstability of -Jordan homomorphisms from a normed algebra to a Banach algebra, and also we show that an -Jordan homomorphism between two commutative Banach algebras is an -ring homomorphism.
Yang-Hi Lee
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CKM Matrix Parameters from the Exceptional Jordan Algebra [PDF]
Universe, 2023 We report a theoretical derivation of the Cabibbo–Kobayashi–Maskawa (CKM) matrix parameters and the accompanying mixing angles. These results are arrived at from the exceptional Jordan algebra applied to quark states, and from expressing flavor ...
A. Patel, T. P. Singh
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Automatic Continuity of Almost $n$-Multiplicative Linear Functionals [PDF]
Sahand Communications in Mathematical Analysis, 2022 We generalize a theorem due to Jarosz, by proving that every almost $n$-multiplicative linear functional on Banach algebra $A$ is automatically continuous.
Abbas Zivari-Kazempour
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Homotopes of Quasi-Jordan Algebras
Axioms, 2023 The notion of quasi-Jordan algebras was originally proposed by R. Velasquez and R. Fellipe. Later, M. R. Bremner provided a modification called K-B quasi-Jordan algebras; these include all Jordan algebras and all dialgebras, and hence all associative ...
Reem K. Alhefthi +2 more
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Deducing the symmetry of the standard model from the automorphism and structure groups of the exceptional Jordan algebra [PDF]
International Journal of Modern Physics A, 2018 We continue the study undertaken in Ref. 16 of the exceptional Jordan algebra [Formula: see text] as (part of) the finite-dimensional quantum algebra in an almost classical space–time approach to particle physics. Along with reviewing known properties of
I. Todorov, M. Dubois-Violette
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Octonions, Exceptional Jordan Algebra and The Role of The Group $$F_4$$F4 in Particle Physics [PDF]
Advances in Applied Clifford Algebras, 2018 Normed division rings are reviewed in the more general framework of composition algebras that include the split (indefinite metric) case. The Jordan–von Neumann–Wigner classification of finite euclidean Jordan algebras is outlined with special attention ...
I. Todorov, S. Drenska
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Conformally Covariant Bi-Differential Operators on a Simple Real Jordan Algebra [PDF]
, 2017 For a simple real Jordan algebra $V,$ a family of bi-differential operators from $\mathcal{C}^\infty(V\times V)$ to $\mathcal{C}^\infty(V)$ is constructed.
S. Said, J. Clerc, K. Koufany
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Jordan centralizer maps on trivial extension algebras
Demonstratio Mathematica, 2020 The structure of Jordan centralizer maps is investigated on trivial extension algebras. One may obtain some conditions under which a Jordan centralizer map on a trivial extension algebra is a centralizer map. As an application, we characterize the Jordan
Bahmani Mohammad Ali +2 more
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