Abstract
A noncommutative differential calculus on the h-superplane is presented via a contraction of the q-superplane. An R-matrix which satisfies both ungraded and graded Yang–Baxter equations is obtained and a new deformation of the (1+1)-dimensional classical phase space (the super-Heisenberg algebra) is introduced.
Keywords
Noncommutative geometry
Quantum differential calculus
Differential calculus
Mathematics
Algebra over a field
Calculus (dental)
Time-scale calculus
Matrix calculus
Phase space
Functional calculus
Differential equation
Pure mathematics
Mathematical physics
Multivariable calculus
Mathematical analysis
Physics
Noncommutative quantum field theory
Quantum mechanics
Subject Areas
Algebraic structures and combinatorial models
·Geometry and Topology ·Physical Sciences
Advanced Topics in Algebra
·Algebra and Number Theory ·Physical Sciences
Advanced Algebra and Geometry
·Mathematical Physics ·Physical Sciences
Citations by Year
2015: 1
2021: 1
2023: 2
2024: 1
2025: 1
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