American Journal of Applied Sciences

q- sl2 and Associated Wave and Heat Equations

Sami H. Altoum

DOI : 10.3844/ajassp.2018.261.266

American Journal of Applied Sciences

Volume 15, Issue 5

Pages 261-266


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.


© 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.