The 2-Parametric Extension of $h$ Deformation of $GL(2)$, and The Differential Calculus on Its Quantum Plane
Amir Aghamohammadi
TL;DR
This paper introduces a new two-parameter quantum deformation of GL(2), develops its differential calculus on the associated quantum plane, and proposes a novel deformation of the 2D Heisenberg algebra, expanding quantum group theory.
Contribution
It presents an alternative 2-parametric deformation of GL(2), constructs the differential calculus on its quantum plane, and introduces a new deformation of the 2D Heisenberg algebra.
Findings
New 2-parametric deformation of GL(2)
Differential calculus on the quantum plane
Deformation of the 2D Heisenberg algebra
Abstract
We present an alternative 2-parametric deformation , and construct the differential calculus on the quantum plane on which this quantum group acts. Also we give a new deformation of the two dimensional Heisenberg algebra
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