Results 21 to 30 of about 79,275 (247)
The standard model, the Pati–Salam model, and ‘Jordan geometry’
New Journal of Physics, 2020 We argue that the ordinary commutative and associative algebra of spacetime coordinates (familiar from general relativity) should perhaps be replaced, not by a noncommutative algebra (as in noncommutative geometry), but rather by a Jordan algebra ...
Latham Boyle, Shane Farnsworth
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Structure theorem for Jordan algebra bundles [PDF]
Arab Journal of Mathematical SciencesPurpose – The aims of this paper is to prove that every semisimple Jordan algebra bundle is locally trivial and establish the decomposition theorem for locally trivial Jordan algebra bundles using the decomposition theorem of Lie algebra bundles.
Ranjitha Kumar
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A Class of Nonlinear Nonglobal Semi-Jordan Triple Derivable Mappings on Triangular Algebras
Journal of Mathematics, 2021 In this paper, we proved that each nonlinear nonglobal semi-Jordan triple derivable mapping on a 2-torsion free triangular algebra is an additive derivation.
Xiuhai Fei, Haifang Zhang
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Reduction of Lie--Jordan algebras: Quantum [PDF]
, 2013 In this paper we present a theory of reduction of quantum systems in the presence of symmetries and constraints. The language used is that of Lie--Jordan Banach algebras, which are discussed in some detail together with spectrum properties and the space ...
Falceto, F. +3 more
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Transactions of the American Mathematical Society, 1975 A local Jordan algebra J \mathfrak {J} is a unital quadratic Jordan algebra in which Rad J \operatorname {Rad} \mathfrak {J} is a maximal ideal, J / Rad J \mathfrak {
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Jordan Algebras Over Algebraic Varieties [PDF]
Communications in Algebra, 2010 We construct Jordan algebras over a locally ringed space using generalizations of the Tits process and the first Tits construction by Achhammer. Some general results on the structure of these algebras are obtained. Examples of Albert algebras over a Brauer-Severi variety with associated central simple algebra of degree 3 are given.
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Jordan-Morphisms in ∗ -Algebras [PDF]
Proceedings of the American Mathematical Society, 1982 As a continuation of Størmer’s work on Jordan-morphisms in C ∗ C* -algebras we consider Jordan-morphisms φ \varphi from ∗ * -algebras A \mathfrak {A} into the ∗ * -algebra B ( H )
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Jordan Triple Forms of Jordan Algebras [PDF]
Proceedings of the American Mathematical Society, 1983 We show that a central nondegenerate Jordan triple system over a field of characteristic ≠ 2 \ne 2 has a nonzero center iff it is scalar isomorphic to a Jordan algebra. As an application we classify Jordan triple forms of Jordan algebras.
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Jordan trialgebras and post-Jordan algebras
Journal of Algebra, 2017 We compute minimal sets of generators for the S_n-modules (n <= 4) of multilinear polynomial identities of arity n satisfied by the Jordan product and the Jordan diproduct (resp. pre-Jordan product) in every triassociative (resp. tridendriform) algebra.
Bagherzadeh, F. +2 more
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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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