Results 261 to 270 of about 54,241 (298)

Differential operators and differential calculus in quantum groups

Izvestiya: Mathematics, 1998
The author deals with abstract differential operators in bialgebras and Hopf algebras (quantum groups). He proves density theorems and structure theorems for the algebras of differential operators defined by dual pairs of Hopf algebras \(A, B\) and indicates connections with Drinfel'd's quantum double and differential geometry in quantum groups.
openaire   +1 more source

A finite difference explicit-implicit scheme for fractal heat and mass transportation of Williamson nanofluid flow in quantum calculus

Numerical Heat Transfer, Part A Applications
This study introduces a novel and versatile fractal finite difference scheme designed to address unsteady flow challenges in quantum calculus over flat and oscillatory sheets.
M. Arif, K. Abodayeh, Yasir Nawaz
semanticscholar   +1 more source

A Differential Calculus on Z3-Graded Quantum Superspace ℝq(2|1)${\mathbb R}_{q}(2|1)$

, 2015
We introduce a Z3-graded quantum (2+1)-superspace and define Z3-graded Hopf algebra structure on algebra of functions on the Z3-graded quantum superspace.
S. Çelik
semanticscholar   +1 more source

CARTAN CALCULUS OF Z₃-GRADED DIFFERENTIAL CALCULUS ON THE QUANTUM PLANE

International Journal of Geometric Methods in Modern Physics, 2012
To give a Z3-graded Cartan calculus on the extended quantum plane, the noncommutative differential calculus on the extended quantum plane is extended by introducing inner derivations and Lie derivatives.
openaire   +3 more sources

Right-Covariant Differential Calculus on Hopf Superalgebra $${{\mathbb {F}}}({\mathbb {C}}_q^{2|1})$$ F ( C q

Advances in Applied Clifford Algebras, 2023
S. Çelik
semanticscholar   +1 more source

Comment on the differential calculus on quantum planes

Journal of Physics A: Mathematical and General, 1991
Two-parameter quantum deformation of the plane and its calculus are considered. Without \(R\) matrix, the main structures of Wess and Zumino scheme are derived. Their generalization to multiparameter deformation and to quantum superspace are briefly discussed in an arbitrary number of dimensions.
openaire   +1 more source

Quantum guidelines for solid-state spin defects

Nature Reviews Materials, 2021
Gary Wolfowicz, F Joseph Heremans, Christopher P Anderson   +2 more
exaly  

Weyl, Dirac and high-fold chiral fermions in topological quantum matter

Nature Reviews Materials, 2021
M Zahid Hasan, Guoqing Chang, Ilya Belopolski   +2 more
exaly  

Quantum Differential Calculus on Jordanian Deformations of the Minkowski space

Proceedings of Proceedings of the Corfu Summer Institute 2024 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2024)
Rita Fioresi, J. Razzaq, Emanuele Latini
semanticscholar   +1 more source

InP colloidal quantum dots for visible and near-infrared photonics

Nature Reviews Materials, 2023
Guilherme Almeida
exaly