OBSERVING REPRESENTATIONS OF THE LIE GROUP
SL(3, R) FROM VANTAGE POINT OF SYMMETRIES OF
SECOND ORDER LINEAR O.D.E’s

Uchechukwu Opara

doi:https://doi.org/10.14445/22315373/IJMTT-V66I10P511

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 10 | Year 2020 | Article Id. IJMTT-V66I10P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I10P511

OBSERVING REPRESENTATIONS OF THE LIE GROUP SL(3, R) FROM VANTAGE POINT OF SYMMETRIES OF SECOND ORDER LINEAR O.D.E’s

Uchechukwu Opara

Citation :

Uchechukwu Opara, "OBSERVING REPRESENTATIONS OF THE LIE GROUP SL(3, R) FROM VANTAGE POINT OF SYMMETRIES OF SECOND ORDER LINEAR O.D.E’s," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 10, pp. 70-75, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I10P511

Abstract

An in-depth view of the reducibility properties of second order linear O.D.E’s also offers a unique setting to draw up links between representations of the admitted symmetry group SL(3, R). These links are exposed in this article, with further elements of symmetry methods for differential equations and abstract group algebra also elucidated.

Keywords

Kummer-Liouville point transform, Lie group representations and isomorphisms, Projective special linear group, Semiinvariants of second order linear O.D.E’s .

References

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