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

Authors

  • Muttalip Ozavsar Yildiz Tech. Uni. Davutpasa Campus. Dept. of Mathematics
  • Gursel Yesilot Yildiz Tech. Uni. Davutpasa Campus. Dept. of Mathematics

Keywords:

Hopf Algebras, Quantum Spaces, Weyl Algebra

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.

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Published

2012-05-14

Issue

Vol. 5 No. 2: (April 2012)

Section

Mathematical Analysis

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

Derivative Operators on Quantum (3) space with Two Parameters and Weyl algebra. (2012). European Journal of Pure and Applied Mathematics, 5(2), 197-204. https://ejpam.com/index.php/ejpam/article/view/1347