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Research Article Open Access

q- sl2 and Associated Wave and Heat Equations

Sami H. Altoum1
  • 1 Department of Mathematics, Academy of Engineering Science, Sudan AL-Qunfudhah University College, Umm Al-Qura University, Saudi Arabia

Abstract

For q∈(0, 1), the q- deformation of the sl2 Lie algebra (denoted by q-sl2) is introduced and we give its representation. The heat and wave equations associated to the genrators of the q-sl2 are studied.

American Journal of Applied Sciences
Volume 15 No. 5, 2018, 261-266

DOI: https://doi.org/10.3844/ajassp.2018.261.266

Submitted On: 4 February 2018 Published On: 12 May 2018

How to Cite: Altoum, S. H. (2018). q- sl2 and Associated Wave and Heat Equations. American Journal of Applied Sciences, 15(5), 261-266. https://doi.org/10.3844/ajassp.2018.261.266

Open AccessCopyright: © 2018 Sami H. Altoum. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • q-sl2 Lie Algebra
  • Heat Equation
  • Wave Equation