Results 61 to 70 of about 16,979 (167)

Cartan Pairs

, 1996
A new notion of Cartan pairs as a substitute of notion of vector fields in noncommutative geometry is proposed. The correspondence between Cartan pairs and differential calculi is established.Comment: 7 pages in LaTeX, to be published in Czechoslovak ...
A. Jadczyk, Andrzej Borowiec, D. Gurevich, D. Kastler, F.W. Warner, J. Wess, K.C. Mackenzie, N. Bourbaki, S.L. Woronowicz, W. Marcinek, W. Pusz, Z. Oziewicz   +11 more
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Matematyka i kosmologia

Zagadnienia Filozoficzne w Nauce, 2012
The mathematical and cosmological works of a group associated with the Copernicus Center for Interdisciplinary Studies in Cracow are summarized. The group consists mainly of M. Heller, L. Pysiak, W. Sasin, Z. Odrzygóźdź and J. Gruszczak.
Michał Heller
doaj  

Integrated differential geometry. Commutative and noncommutative

, 1994
Plain tex, 35 ...
openaire   +2 more sources

Functorial constructions related to double Poisson vertex algebras

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract For any double Poisson algebra, we produce a double Poisson vertex algebra using the jet algebra construction. We show that this construction is compatible with the representation functor which associates to any double Poisson (vertex) algebra and any positive integer a Poisson (vertex) algebra.
Tristan Bozec, Maxime Fairon, Anne Moreau   +2 more
wiley   +1 more source

Higgs Mass and Noncommutative Geometry

, 1993
We show that the description of the electroweak interactions based on noncommutative geometry of a continuous and a discrete space gives no special relations between the Higgs mass and other parameters of the model.
Andrzej Sitarz, Balkrishna, Connes, Connes, Coquereaux, Coquereaux, Dubois-Violette, Dubois-Violette, Dubois-Violette   +8 more
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Noncommutative Harmonic Analysis, Sampling Theory and the Duflo Map in 2+1 Quantum Gravity

, 2007
We show that the $\star$-product for $U(su_2)$, group Fourier transform and effective action arising in [1] in an effective theory for the integer spin Ponzano-Regge quantum gravity model are compatible with the noncommutative bicovariant differential ...
't Hooft G, Alekseev A Yu, Amelino-Camelia G, Beggs E J Majid S, Benedetto J J, Freidel L, Freidel L Livine E R, Girelli F Livine E, Laurent Freidel, Majid S, Majid S, Ponzano G, Schroers B J, Shahn Majid   +13 more
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Path Integral Spin Dynamics for Quantum Paramagnets

Advanced Physics Research, Volume 4, Issue 8, August 2025.
The study has developed a path integral method, which is a classical approach, combined with atomistic spin dynamics simulations to calculate thermal quantum expectation values. This method can handle Hamiltonians with non‐linear terms, which are important for describing uniaxial anisotropies and mechanical constraints.
Thomas Nussle, Pascal Thibaudeau, Stam Nicolis   +2 more
wiley   +1 more source

Noncommutative Geometry in the Framework of Differential Graded Categories [PDF]

, 2010
19 pages.
openaire   +4 more sources

Heisenberg‐smooth operators from the phase‐space perspective

Mathematische Nachrichten, Volume 298, Issue 8, Page 2845-2866, August 2025.
Abstract Cordes' characterization of Heisenberg‐smooth operators bridges a gap between the theory of pseudo‐differential operators and quantum harmonic analysis (QHA). We give a new proof of the result by using the phase‐space formalism of QHA. Our argument is flexible enough to generalize Cordes' result in several directions: (1) we can admit general ...
Robert Fulsche, Lauritz van Luijk
wiley   +1 more source

Modular curvature for toric noncommutative manifolds

, 2015
A general question behind this paper is to explore a good notion for intrinsic curvature in the framework of noncommutative geometry started by Alain Connes in the 80s.
Liu, Yang
core