Abstract
In this paper, we introduced a quantum space generated by three noncommutative coordinates with two commutation parameters. We also give Hopf algebra structure in order to construct bicovariant differential calculus over this quantum space. Morever, it is shown that noncommutative derivative operators corresponding the coordinates comprise Weyl algebra.
Keywords
Quantum differential calculus
Noncommutative geometry
Mathematics
Weyl algebra
Differential calculus
Quantum group
Differential operator
Noncommutative algebraic geometry
Hopf algebra
Algebra over a field
Pure mathematics
Operator algebra
Universal enveloping algebra
Derivative (finance)
Operator theory
Quantum
Algebraic differential equation
Space (punctuation)
Noncommutative quantum field theory
Generalizations of the derivative
Mathematical analysis
Quantum mechanics
Second derivative
Differential equation
Physics
Subject Areas
Algebraic structures and combinatorial models
·Geometry and Topology ·Physical Sciences
Advanced Topics in Algebra
·Algebra and Number Theory ·Physical Sciences
Advanced Operator Algebra Research
·Mathematical Physics ·Physical Sciences
Citations by Year
2019: 1
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