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

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Keywords

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