Results 1 to 10 of about 16,979 (167)
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.
Dubois-Violette, Michel, Masson, Thierry
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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.
Dubois-Violette, Michel +1 more
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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
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Hopf Modules and Noncommutative Differential Geometry [PDF]
Letters in Mathematical Physics, 2006 14 Pages, one reference ...
Kaygun, Atabey, Khalkhali, Masoud
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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 +3 more
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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
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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 +2 more
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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
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Non-commutative complex differential geometry
Journal of Geometry and Physics, 2013 This paper defines and examines the basic properties of noncommutative analogues of almost complex structures, integrable almost complex structures, holomorphic curvature, cohomology, and holomorphic sheaves. The starting point is a differential structure on a noncommutative algebra defined in terms of a differential graded algebra. This is compared to
Beggs, Edwin, Smith, S. Paul
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Quantum Riemannian geometry of phase space and nonassociativity
Demonstratio Mathematica, 2017 Noncommutative or ‘quantum’ differential geometry has emerged in recent years as a process for quantizing not only a classical space into a noncommutative algebra (as familiar in quantum mechanics) but also differential forms, bundles and Riemannian ...
Beggs Edwin J., Majid Shahn
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