Derivative Operators on Quantum (3) space with Two Parameters and Weyl algebra

Muttalip Özavşar, Gürsel Yeşilot

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

Hopf Algebras; Quantum Spaces; Weyl Algebra

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