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Pure Maps between Euclidean Jordan Algebras [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2019
We propose a definition of purity for positive linear maps between Euclidean Jordan Algebras (EJA) that generalizes the notion of purity for quantum systems.
Abraham Westerbaan   +2 more
doaj   +5 more sources

How dynamics constrains probabilities in general probabilistic theories [PDF]

open access: yesQuantum, 2021
We introduce a general framework for analysing general probabilistic theories, which emphasises the distinction between the dynamical and probabilistic structures of a system.
Thomas D. Galley, Lluis Masanes
doaj   +1 more source

An Introduction to Predictive Processing Models of Perception and Decision‐Making

open access: yesTopics 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

Models of the universe based on Jordan algebras

open access: yesNuclear Physics B, 2020
We propose a model for the universe based on Jordan algebras. The action consists of cubic terms with coefficients being the structure constants of a Jordan algebra.
J. Ambjørn, Y. Watabiki
doaj   +1 more source

Structure theory for noncommutative Jordan H∗-algebras

open access: yesJournal of Algebra, 1987
The theory of associative Hilbert algebras as developed in [\textit{W. Ambrose}, Trans. Am. Math. Soc. 57, 364-386 (1945; Zbl 0060.269)] has been extended to various classes of nonassociative algebras, among them Jordan algebras, cf. [\textit{C. Viola Devapakkiam}, Math. Proc. Camb. Philos. Soc. 78, 293-300 (1975; Zbl 0357.17015) and with \textit{P. S.
Mira, JoséAntonio Cuenca   +1 more
openaire   +2 more sources

Maximal subalgebras and chief factors of Lie algebras [PDF]

open access: yes, 2015
This paper is a continued investigation of the structure of Lie algebras in relation to their chief factors, using concepts that are analogous to corresponding ones in group theory. The first section investigates the structure of Lie algebras with a core-
Towers, David
core   +2 more sources

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