Results 1 to 10 of about 104 (92)

SU(n)-connections and noncommutative differential geometry [PDF]

Journal of Geometry and Physics, 1998
We study the noncommutative differential geometry of the algebra of endomorphisms of any SU(n)-vector bundle. We show that ordinary connections on such SU(n)-vector bundle can be interpreted in a natural way as a noncommutative 1-form on this algebra for the differential calculus based on derivations.
Michel Dubois-Violette, Thierry Masson
exaly   +4 more sources

Hopf Modules and Noncommutative Differential Geometry [PDF]

Letters in Mathematical Physics, 2006
14 Pages, one reference ...
Atabey Kaygun, Masoud Khalkhali, Khalkhali Masoud   +2 more
exaly   +3 more sources

Connections on central bimodules in noncommutative differential geometry [PDF]

Journal of Geometry and Physics, 1996
We define and study the theory of derivation-based connections on a recently introduced class of bimodules over an algebra which reduces to the category of modules whenever the algebra is commutative. This theory contains, in particular, a noncommutative generalization of linear connections.
Michel Dubois-Violette, Peter W Michor
exaly   +3 more sources

Connes' noncommutative differential geometry and the standard model

Journal of Geometry and Physics, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Joseph C Varilly
exaly   +5 more sources

Noncommutative differential geometry on infinitesimal spaces

Annales Mathematiques Du Quebec
In this paper, we use the language of noncommutative differential geometry to formalise discrete differential calculus. We begin with a brief review of inverse limit of posets as an approximation of topological spaces. We then show how to associate a $C^*$-algebra over a poset, giving it a piecewise-linear structure.
Jean-Christophe Nave
exaly   +3 more sources

Differential operators and BV structures in noncommutative geometry [PDF]

Selecta Mathematica, New Series, 2010
Section on the representation functor added, second classical definition of diff. ops discussed, minor corrections made.
VÍCTOR Ginzburg, Travis Schedler, Ginzburg VÍCTOR   +2 more
exaly   +3 more sources

The noncommutative geometry of the Landau Hamiltonian: differential aspects [PDF]

Journal of Physics A: Mathematical and Theoretical, 2021
Abstract In this work we study the differential aspects of the noncommutative geometry for the magnetic C *-algebra which is a 2-cocycle deformation of the group C *-algebra of
Giuseppe De Nittis, Maximiliano Sandoval
openaire   +4 more sources

Theoretical and Numerical Study of Self-Organizing Processes in a Closed System Classical Oscillator and Random Environment

Mathematics, 2022
A self-organizing joint system classical oscillator–random environment is considered within the framework of a complex probabilistic process that satisfies a Langevin-type stochastic differential equation.
Ashot S. Gevorkyan, Aleksander V. Bogdanov, Vladimir V. Mareev, Koryun A. Movsesyan   +3 more
doaj   +1 more source

Top Quark Pair-Production in Noncommutative Standard Model

Advances in High Energy Physics, 2020
The differential cross-section of the top quark pair production via the quark-antiquark annihilation subprocess in hadron collision is calculated within the noncommutative standard model. A pure NC analytical expression for the forward-backward asymmetry
M. Fisli, N. Mebarki
doaj   +1 more source

On subclasses of analytic functions based on a quantum symmetric conformable differential operator with application

Advances in Difference Equations, 2020
Quantum calculus (the calculus without limit) appeared for the first time in fluid mechanics, noncommutative geometry and combinatorics studies. Recently, it has been included into the field of geometric function theory to extend differential operators ...
Rabha W. Ibrahim, Rafida M. Elobaid, Suzan J. Obaiys   +2 more
doaj   +1 more source