On Models of the Lie Algebra Gu,v and Euler Integral Transformation
Authors
-
Department of Mathematics, National Institute of Technology Kurukshetra ,IN
Sarasvati Yadav -
Department of Mathematics, National Institute of Technology Kurukshetra ,INShaifali
DOI:
https://doi.org/10.18311/jims/2024/32906Keywords:
Lie Algebras, Lie Groups, Euler Integral Transformation, Generating Functions, Recurrence Relations.Abstract
In this study, we framed two variable and three variable models of the irreducible representations of the Lie Algebra Gu,v. The two variable models are then transmuted in terms of difference-differential operators using the Euler integral transformation, whereas the three variable models are transmuted in terms of difference-differential operators using the two-fold Euler integral transformation. Then, various recurrence relations and generating functions are obtained using these models.
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Copyright (c) 2024 S. Yadav, Shaifali Thakur
This work is licensed under a Creative Commons Attribution 4.0 International License.
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