Abstract
To give a Z 3 -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.
Keywords
Quantum differential calculus
Differential calculus
Noncommutative geometry
Mathematics
Calculus (dental)
Plane (geometry)
Time-scale calculus
Functional calculus
Differential (mechanical device)
Quantum
Pure mathematics
Differential form
Mathematical physics
Noncommutative quantum field theory
Physics
Quantum mechanics
Geometry
Multivariable calculus
Subject Areas
Algebraic structures and combinatorial models
·Geometry and Topology ·Physical Sciences
Advanced Topics in Algebra
·Algebra and Number Theory ·Physical Sciences
Noncommutative and Quantum Gravity Theories
·Statistical and Nonlinear Physics ·Physical Sciences
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