Classification of All Ideals of the Group Algebra of Some Lie Groups

International Journal of Mathematics Trends and Technology

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Volume 21 | Number 1 | Year 2015 | Article Id. IJMTT-V21P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V21P501

Classification of All Ideals of the Group Algebra of Some Lie Groups

Kahar El-Hussein, Badahi Ould Mohamed

Abstract

Let G = Rno Rm be the Lie group, which is the semi-direct product of the real vector group Rn and Rm, 1 m n: Let U be the complexied universal enveloping algebra of the real Lie algebra g of G: The purpose of this paper is to give a characterization of the all ideals of the group algebra L1(G) of G. Besides, we prove some existence theorems for U.

Keywords

Semi-Direct Product of Two Lie Groups, Ideals of Group Algebra, Fourier Transform, Di§erential Operators. AMS 2000 Subject Classification: 43A30&35D 05

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Citation :

Kahar El-Hussein, Badahi Ould Mohamed, "Classification of All Ideals of the Group Algebra of Some Lie Groups," International Journal of Mathematics Trends and Technology (IJMTT), vol. 21, no. 1, pp. 1-15, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V21P501