Results 31 to 40 of about 1,540,375 (236)

Group gradings on the Jordan algebra of upper triangular matrices [PDF]

open access: yes, 2017
Let G be an arbitrary group and let K be a field of characteristic different from 2. We classify the G-gradings on the Jordan algebra UJ n of upper triangular matrices of order n over K.
P. Koshlukov, F. Yasumura
semanticscholar   +1 more source

Jordan Higher Bi- Homomorphism and Co- Jordan Higher Bi- Homomorphism on Banach Algebra

open access: yesمجلة بغداد للعلوم, 2021
The concepts of higher Bi- homomorphism and Jordan higher Bi- homomorphism have been introduced and studied the relation between Jordan and ordinary higher Bi- homomorphism also the concepts of Co- higher Bi- homomorphism and  Co- Jordan higher Bi ...
Rajaa Chaffat Shaheen
doaj   +1 more source

On the simple transposed Poisson algebras and Jordan superalgebras [PDF]

open access: yesJournal of Algebra, 2023
We prove that a transposed Poisson algebra is simple if and only if its associated Lie bracket is simple. Consequently, any simple finite-dimensional transposed Poisson algebra over an algebraically closed field of characteristic zero is trivial. Similar
Amir Fernández Ouaridi
semanticscholar   +1 more source

Jordan-Morphisms in ∗ -Algebras [PDF]

open access: yesProceedings of the American Mathematical Society, 1982
As a continuation of Størmer’s work on Jordan-morphisms in C ∗
openaire   +2 more sources

The standard model, the Pati–Salam model, and ‘Jordan geometry’

open access: yesNew 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
doaj   +1 more source

A Jordan algebra approach to the cubic eiconal equation [PDF]

open access: yes, 2012
We establish a natural correspondence between (the equivalence classes of) cubic solutions of a cubic eiconal equation and (the isomorphy classes of) cubic Jordan algebras.
V. Tkachev
semanticscholar   +1 more source

Characterizing Jordan embeddings between block upper-triangular subalgebras via preserving properties [PDF]

open access: yesLinear Algebra and its Applications, 2023
Let $M_n$ be the algebra of $n \times n$ complex matrices. We consider arbitrary subalgebras $\mathcal{A}$ of $M_n$ which contain the algebra of all upper-triangular matrices (i.e.\ block upper-triangular subalgebras), and their Jordan embeddings.
Ilja Gogi'c, T. Petek, Mateo Tomašević
semanticscholar   +1 more source

A Class of Nonlinear Nonglobal Semi-Jordan Triple Derivable Mappings on Triangular Algebras

open access: yesJournal 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
doaj   +1 more source

Construction of Hom-pre-Jordan algebras and Hom-J-dendriform algebras

open access: yesExtracta Mathematicae, 2022
The aim of this work is to introduce and study the notions of Hom-pre-Jordan algebra and Hom-J-dendriform algebra which generalize Hom-Jordan algebras.
T. Chtioui, S. Mabrouk, A. Makhlouf
doaj  

Exceptional quantum geometry and particle physics

open access: yesNuclear 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
doaj   +1 more source

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