Solutions of a Certain Forms of Systems of PDEs and Representations of A2

Main Article Content

Sarawut Saenkarun
Sakda Noinang
Ratee Bojaras
Pairin Suwannasri

Abstract

This paper is concerned with applications of the representations of  to solutions of A2 certain forms of systems of partial differential equations. This is achieved by using representations of A2 and intertwining operators. Solutions of the systems of partial differential equations can be found by applying products of the related operators to 1.

Article Details

How to Cite
Saenkarun, S., Noinang, S., Bojaras, R., & Suwannasri, P. (2025). Solutions of a Certain Forms of Systems of PDEs and Representations of A2. Journal of Science and Science Education (JSSE), 8(2), 337–345. https://doi.org/10.14456/jsse.2025.27
Section
Research Articles in Science

References

Ibragimov, N. H. (1996). CRC Handbook of Lie group analysis of differential equations. Boca Raton: CRC Press.

Loutsiouk, A. (2008). On extreme vectors of Verma modules over complex semi-simple Lie algebras, International Journal of Algebra, 2(16), 771– 778.

Ovsiannikov, L. V. (1978). Group analysis of differential equations. New York: Academic Press.

Saenkarun, S. (2009). Application of representations of G2 to solutions of a system of PDE. Journal of Interdisciplinary Mathematics, 12(4), 589–606.

Saenkarun, S., Loutsiouk, A. and Chunrungsikul, S. (2009). Studying solutions of a system of PDE through representations of G2. International Mathematical Forum, 9(4), 429–439.

Zhelobenko, D. P. (1973). Compact Lie groups and their representations. Providence: American Mathematical Society.