Results 31 to 40 of about 143,581 (207)
Spectral Properties and Stability in Vector-Valued Lipschitz Algebras [PDF]
Sahand Communications in Mathematical AnalysisLet $A$ be a commutative Banach algebra and $(K,d)$ be a compact metric space. In this paper, we examine various spectral properties, including the unique uniform norm property, weak regularity, Ditkin's condition and local operators, within the context
Hossein Aboubakri +2 more
doaj +1 more source
Journal of High Energy Physics, 2021 The Poisson gauge algebra is a semi-classical limit of complete non- commutative gauge algebra. In the present work we formulate the Poisson gauge theory which is a dynamical field theoretical model having the Poisson gauge algebra as a corresponding ...
Vladislav G. Kupriyanov
doaj +1 more source
, 2008 The Ahtekar-Isham C*-algebra known from Loop Quantum Gravity is the algebra of continuous functions on the space of (generalized) connections with a compact structure Lie group.
Andrzej Okołów +4 more
core +1 more source
A Perspective on Interactive Theorem Provers in Physics
Advanced Science, EarlyView.Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley +1 more source
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
A fuzzy bipolar celestial sphere
Journal of High Energy Physics, 2019 We introduce a non-commutative deformation of the algebra of bipolar spherical harmonics supporting the action of the full Lorentz algebra. Our construction is close in spirit to the one of the non-commutative spherical harmonics associated to the fuzzy ...
Francesco Alessio, Michele Arzano
doaj +1 more source
Composition-Diamond Lemma for Non-associative Algebras over a Commutative Algebra [PDF]
, 2010 We establish the Composition-Diamond lemma for non-associative algebras over a free commutative algebra. As an application, we prove that every countably generated non-associative algebra over an arbitrary commutative algebra $K$ can be embedded into a ...
Chen, Yuqun, Li, Jing, Zeng, Mingjun
core +1 more source
Statistical $\rho$-commutative algebras
Hacettepe Journal of Mathematics and Statistics, 2023 In this article, we study Codazzi-couples of an arbitrary connection $\nabla$ with a nondegenerate 2-form $\omega$, an isomorphism $L$ on the space of derivation of $\rho$-commutative algebra $A$, which the important examples of isomorphism $L$ are almost complex and almost para-complex structures, a metric $g$ that $(g, \omega,L)$ form a compatible ...
Zahra BAGHERİ, Esmaeil PEYGHAN
openaire +2 more sources
New Kind of Banach Algebra Via Proximit structure
Wasit Journal for Pure Sciences, 2023 This article introduces the concept of Banach proximit algebra and examines several results in this new context. We give new definitions for the terms "proximit algebra," "commutative proximit algebra," "identity proximit algebra," and "normed proximit ...
Dhuha Ebada, Boushra Y. Hussein
doaj +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source