Results 21 to 30 of about 1,540,375 (236)
Jacobi-Jordan-admissible algebras and Pre-Jacobi-Jordan algebras
Journal of Algebra and Its Applications, 2023 The main purpose of this paper is to study Jacobi–Jordan-admissible algebras and some particular classes like pre-Jacobi–Jordan algebras. First, we provide characterizations of Jacobi–Jordan algebras by means of oxidation process. Then, we discuss Jacobi–Jordan-admissible algebras for which we obtain a surprising characterization as 3-power anti ...
A. Baklouti +3 more
semanticscholar +2 more sources
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
semanticscholar +1 more source
An Introduction to Predictive Processing Models of Perception and Decision‐Making
Topics in Cognitive Science, EarlyView., 2023 Abstract The predictive processing framework includes a broad set of ideas, which might be articulated and developed in a variety of ways, concerning how the brain may leverage predictive models when implementing perception, cognition, decision‐making, and motor control.
Mark Sprevak, Ryan Smith
wiley +1 more source
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
semanticscholar +1 more source
Degenerations of Jordan Algebras and “Marginal” Algebras [PDF]
Algebra Colloquium, 2021 We describe all degenerations of the variety [Formula: see text] of Jordan algebras of dimension three over [Formula: see text]. In particular, we describe all irreducible components in [Formula: see text]. For every [Formula: see text] we define an [Formula: see text]-dimensional rigid “marginal” Jordan algebra of level one.
Gorshkov, Ilya +2 more
openaire +2 more sources
Ternary structures in Hilbert spaces [PDF]
, 2011 PhDTernary structures in Hilbert spaces arose in the study of in nite dimensional manifolds in di erential geometry. In this thesis, we develop a structure theory of Hilbert ternary algebras and Jordan Hilbert triples which are Hilbert spaces equipped
Bahmani, Fatemeh
core +4 more sources
Advances in Mathematics, 2021 A conjecture for the dimension and the character of the homogenous components of the free Jordan algebras is proposed. As a support of the conjecture, some numerical evidences are generated by a computer and some new theoretical results are proved. One of them is the cyclicity of the Jordan operad.
Kashuba, Iryna, Mathieu, Olivier
openaire +4 more sources
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
doaj +1 more source
Fuzzy Optimization and Modeling, 2022 In present paper, the stability of generalized Jordan derivations associated with Hochschild 2-cocycles of triangular algebras for the generalized kind of Jensen-type functional equation is investigated.
Rohollah Bakhshandeh, Isa Bakhshandeh
doaj +1 more source
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, Khalid Koufany
semanticscholar +1 more source