Results 71 to 80 of about 33,662 (238)
Twists of twisted generalized Weyl algebras
Bulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2680-2697, September 2025.Abstract We study graded twisted tensor products and graded twists of twisted generalized Weyl algebras (TGWAs). We show that the class of TGWAs is closed under these operations assuming mild hypotheses. We generalize a result on cocycle equivalence among multiparameter quantized Weyl algebras to the setting of TGWAs.
Jason Gaddis, Daniele Rosso
wiley +1 more source
Noncommutative coarse geometry [PDF]
Journal of Noncommutative Geometry, 2019 We use compactifications of C*-algebras to introduce noncommutative coarse geometry. We transfer a noncommutative coarse structure on a C*-algebra with an action of a locally compact Abelian group by translations to Rieffel deformations and prove that the resulting noncommutative coarse spaces are coarsely equivalent.
Banerjee, Tathagata, Meyer, Ralf
openaire +3 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 +2 more
wiley +1 more source
Crystals, instantons and quantum toric geometry
, 2011 We describe the statistical mechanics of a melting crystal in three dimensions and its relation to a diverse range of models arising in combinatorics, algebraic geometry, integrable systems, low-dimensional gauge theories, topological string theory and ...
Szabo, Richard J.
core +1 more source
Gravitational probe of ꝗuantum spacetime
Physics Letters BA quest for phenomenological footprints of quantum gravity is among the central scientific tasks in the rising era of gravitational wave astronomy. We study gravitational wave dynamics within the noncommutative geometry framework, based on a Drinfeld ...
Nikola Herceg +4 more
doaj +1 more source
Universe, 2022 Based on the perturbation expansion, we compute the noncommutative corrections to the minimal surface areas of the pure AdS spacetime and Schwarzschild-AdS black hole, where the noncommutative background is suitably constructed in terms of the Poincaré ...
Zhang-Cheng Liu, Yan-Gang Miao
doaj +1 more source
Noncommutative geometry and Painlevé equations [PDF]
Algebra & Number Theory, 2015 We construct the elliptic Painlev equation and its higher dimensional analogs as the action of line bundles on 1-dimensional sheaves on noncommutative surfaces.
Okounkov, Andrei, Rains, Eric
openaire +4 more sources
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 +2 more
wiley +1 more source
Linear connections on matrix geometries [PDF]
, 1994 A general definition of a linear connection in noncommutative geometry has been recently proposed. Two examples are given of linear connections in noncommutative geometries which are based on matrix algebras.
Chamseddine A H +15 more
core +2 more sources