Results 21 to 30 of about 928,268 (284)
Algebraic constructions for Jacobi-Jordan algebras [PDF]
Linear Algebra and its Applications, 2021 Continues arXiv:1011.1633, arXiv:1011.2174, arXiv:1301.5442, arXiv:1305.6022, arXiv:1307.2540, arXiv:1308.5559, arXiv:1309.1986, arXiv:1507.08146; restates preliminaries and definitions for sake of clarity.
Ana Agore +3 more
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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.
Ivan Kaygorodov +2 more
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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
Jordan algebra approach to finite quantum geometry
, 2020 The exceptional euclidean Jordan algebra $J_3^8$, consisting of $3\times 3$ hermitian octonionic matrices, appears to be tailor made for the internal space of the three generations of quarks and leptons.
I. Todorov
semanticscholar +1 more source
Evaluations of multilinear polynomials on low rank Jordan algebras [PDF]
Communications in Algebra, 2021 In this paper, we prove the generalized Kaplansky conjecture for Jordan algebras of the type Jn , in particular for self-adjoint 2 × 2 matrices over over and In fact, we prove that the image of multilinear polynomial must be either {0}, the space V of ...
S. Malev, R. Yavich, Roee Shayer
semanticscholar +1 more source
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
doaj +1 more source
Is there a Jordan geometry underlying quantum physics? [PDF]
, 2008 There have been several propositions for a geometric and essentially non-linear formulation of quantum mechanics. From a purely mathematical point of view, the point of view of Jordan algebra theory might give new strength to such approaches: there is a `
A. Ashtekar +36 more
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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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Linear Algebra and its Applications, 2014 We study finite-dimensional commutative algebras, which satisfy the Jacobi identity. Such algebras are Jordan algebras. We describe some of their properties and give a classification in dimensions $n<7$ over algebraically closed fields of characteristic not $2$ or $3$.
Alice Fialowski, Dietrich Burde
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