Results 41 to 50 of about 19,522 (183)

Deformation Quantization of Coadjoint Orbits [PDF]

, 2000
A method for the deformation quantization of coadjoint orbits of semisimple Lie groups is proposed. It is based on the algebraic structure of the orbit.
Cahen M., M. A. LIEDÓ, Varadarajan V. S.   +2 more
core   +3 more sources

Heisenberg‐smooth operators from the phase‐space perspective

Mathematische Nachrichten, EarlyView.
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

Superquadric Motion and Superquadric Hyperbolic Split Quaternion Algebra Via Gielis Formula

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Superquadrics are one of the most suitable geometric tools for modeling many complex shapes in nature. It is possible to model many objects, human figures, and living creatures in nature in a suitable way by means of superquadrics. On the other hand, quaternions are useful in mathematics, especially for computations involving three‐dimensional
Zehra Özdemir, Esra Parlak
wiley   +1 more source

Non-commutative moduli spaces of topological D-branes

, 2005
We give a general construction of extended moduli spaces of topological D-branes as non-commutative algebraic varieties. This shows that noncommutative symplectic geometry in the sense of Kontsevich arises naturally in String ...
Alexandrov, Bocklandt, Costello, Costello, Crawley-Boevey, Drensky, Gaberdiel, Ginzburg, Ginzburg, Ginzburg, Hamilton, Herbst, Kajiura, Kontsevich, Lazaroiu, Lazaroiu, LeBruyn, Rota, Stasheff, Umirbaev, Van den Bergh, Voiculescu, Witten, Witten   +23 more
core   +3 more sources

Noncommutative Differential Geometry of Generalized Weyl Algebras [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2016
Elements of noncommutative differential geometry of ${\mathbb Z}$-graded generalized Weyl algebras ${\mathcal A}(p;q)$ over the ring of polynomials in two variables and their zero-degree subalgebras ${\mathcal B}(p;q)$, which themselves are generalized Weyl algebras over the ring of polynomials in one variable, are discussed.
openaire   +6 more sources

Unification of Conformal and Fuzzy Gravities With Internal Interactions Resulting in SO(10) and a Possible Probe Through Stochastic Gravitational Wave Background

Fortschritte der Physik, EarlyView.
Abstract The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational theories considered here have been formulated in a gauge theoretic way.
Gregory Patellis, Danai Roumelioti, Stelios Stefas, George Zoupanos   +3 more
wiley   +1 more source

Twists of twisted generalized Weyl algebras

Bulletin of the London Mathematical Society, EarlyView.
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 generalization of SU(n)-principal fiber bundles: a review

, 2007
This is an extended version of a communication made at the international conference ``Noncommutative Geometry and Physics'' held at Orsay in april 2007.
Bott R, Chamseddine A, Dubois-Violette M, Dubois-Violette M, Lecomte P, Masson T, T Masson   +6 more
core   +1 more source

Preservation for generation along the structure morphism of coherent algebras over a scheme

Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1885-1896, June 2025.
Abstract This work demonstrates classical generation is preserved by the derived pushforward along the structure morphism of a noncommutative coherent algebra to its underlying scheme. Additionally, we establish that the Krull dimension of a variety over a field is a lower bound for the Rouquier dimension of the bounded derived category associated with
Anirban Bhaduri, Souvik Dey, Pat Lank
wiley   +1 more source

Invariant noncommutative connections

, 2004
In this paper we classify invariant noncommutative connections in the framework of the algebra of endomorphisms of a complex vector bundle. It has been proven previously that this noncommutative algebra generalizes in a natural way the ordinary geometry ...
Masson, Thierry, Serie, Emmanuel
core   +1 more source