REPRESENTATION OF LIE ALGEBRA AND GENERALIZED 2-VARIABLE HERMITE GENERALIZED HERMITE MATRIX

Representation of lie Algebra and Generalized 2-Variable Hermite Generalized Hermite Matrix

Published: July 2020
Volume 29-2, Pages 103-107

Abstract

G. Yasmin and S. Khan [Ghazala Yasmin and Subuhi Khan, Hermite matrix based
polynomials of two variables and Lie algebraic techniques, Southeast Asian Bull.
Math. 38(4) (2014), 603-618] defined the generalized 2-variable Hermite generalized Hermite matrix polynomials ( ) , ; . H Hn, m x y A λ Using them, we give a representation of the Lie algebra K5 [Willard Miller, Jr., Lie theory and special functions, Mathematics in Science and Engineering, Vol. 43, Academic Press, New York and London, 1968].

Keywords and phrases: Lie algebra , K5 generalized 2-variable Hermite generalized
Hermite matrix polynomials.