Results 21 to 30 of about 124,800 (224)

Pöppe triple systems and integrable equations

open access: yesPartial Differential Equations in Applied Mathematics, 2023
We construct the combinatorial Pöppe triple system, or ternary algebra, that underlies the non-commutative nonlinear Schrödinger (NLS) and modified Korteweg–de Vries (mKdV) hierarchy.
Anastasia Doikou   +3 more
doaj   +1 more source

CQ *-algebras of measurable operators

open access: yesMoroccan Journal of Pure and Applied Analysis, 2022
We study, from a quite general point of view, a CQ*-algebra (X, 𝖀0) possessing a sufficient family of bounded positive tracial sesquilinear forms. Non-commutative L2-spaces are shown to constitute examples of a class of CQ*-algebras and any abstract CQ ...
Triolo Salvatore
doaj   +1 more source

The non-commutative hardy-littlewood maximal operator on non-commutative lorentz spaces

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2020
In this work we study the non-commutative Hardy-Littlewoodmaximal operator on Lorentz spacesofτ-measurable operators. Non-commutative maximal inequalities were studied, in particular,in [1–3].
N.T. Bekbayev, K.S. Tulenov
doaj   +1 more source

Biamenability of Banach algebras and its applications [PDF]

open access: yesAUT Journal of Mathematics and Computing, 2023
In this paper, we introduce the concept of biamenability of Banach algebras and we show that despite the apparent similarities between amenability and biamenability of Banach algebras, they lead to very different, and somewhat opposed, theories.
Sedigheh Barootkoob   +1 more
doaj   +1 more source

Quantisation of Lorentz invariant scalar field theory in non-commutative space-time and its consequence

open access: yesNuclear Physics B, 2022
Quantisation of Lorentz invariant scalar field theory in Doplicher-Fredenhagen-Roberts (DFR) space-time, a Lorentz invariant, non-commutative space-time is studied.
E. Harikumar, Vishnu Rajagopal
doaj   +1 more source

Combinatorial Hopf algebras from renormalization [PDF]

open access: yes, 2009
In this paper we describe the right-sided combinatorial Hopf structure of three Hopf algebras appearing in the context of renormalization in quantum field theory: the non-commutative version of the Fa\`a di Bruno Hopf algebra, the non-commutative version
Alessandra Frabetti   +15 more
core   +9 more sources

Non-commutative logical algebras and algebraic quantales

open access: yesAnnals of Pure and Applied Logic, 2014
Quantum B-algebras are the partially ordered implicational algebras arising as subreducts of quantales. The authors show that the opposite of the category of quantum B-algebras is equivalent to the category of logical quantales, in the way that every quantum B-algebra admits a natural embedding into a logical quantale, the enveloping quantale.
Wolfgang Rump, Yichuan Yang
openaire   +2 more sources

Differential algebras in non-commutative geometry [PDF]

open access: yesJournal of Geometry and Physics, 1995
We discuss the differential algebras used in Connes' approach to Yang-Mills theories with spontaneous symmetry breaking. These differential algebras generated by algebras of the form functions $\otimes$ matrix are shown to be skew tensorproducts of differential forms with a specific matrix algebra.
Kalau, W.   +3 more
openaire   +2 more sources

Covariant non-commutative space–time

open access: yesNuclear Physics B, 2015
We introduce a covariant non-commutative deformation of 3+1-dimensional conformal field theory. The deformation introduces a short-distance scale ℓp, and thus breaks scale invariance, but preserves all space–time isometries.
Jonathan J. Heckman, Herman Verlinde
doaj   +1 more source

DETERMINISTIC SYSTEMS WITH NATURAL QUANTIZATION [PDF]

open access: yesНаучно-технический вестник информационных технологий, механики и оптики, 2020
Subject of Research. The research of deterministic systems is a topical problem of natural science. The paper presents an approach for behavior study of the deterministic systems.
Victoria V. Golovina   +2 more
doaj   +1 more source

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