On Models of Q-Representations of SL (2,¢) and Q-Euler Integral Transformation

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Authors

  • Vivek Sahai
     Department of Mathematics & Astronomy, Lucknow University, Lucknow-226007 ,IN
  • Shalini Srivastava
     Department of Mathematics & Astronomy, Lucknow University, Lucknow-226007 ,IN

Keywords:

Lie Algebra Sl (2, ¢, ), Q-Representations, Q-Integral Transformation, Q-Hypergeometric Functions.

Abstract

We construct new two variable models o f irreducible (q-representations o f the Lie algebra sl (2,¢). The q-Euler integral transformation is used to transform the models in the form of q-difference dilation operators. These models are further used to obtain some interesting identities.

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Published

2003-12-01

How to Cite

Sahai, V., & Srivastava, S. (2003). On Models of Q-Representations of SL (2,&#162;) and <i>Q</i>-Euler Integral Transformation. The Journal of the Indian Mathematical Society, 70(1-4), 73–85. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/21906

Issue

Volume 70, Issue 1-4, January-December 2003

Section

Articles

License

Copyright (c) 2003 Vivek Sahai, Shalini Srivastava

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.