q- sl2 and Associated Wave and Heat Equations
- 1 Department of Mathematics, Academy of Engineering Science, Sudan AL-Qunfudhah University College, Umm Al-Qura University, Saudi Arabia
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.
Copyright: © 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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- q-sl2 Lie Algebra
- Heat Equation
- Wave Equation