International Journal of Mathematics and Computational Science
Articles Information
International Journal of Mathematics and Computational Science, Vol.3, No.1, Feb. 2017, Pub. Date: Aug. 1, 2017
Invariant Differential Operator on Homogeneous Space
Pages: 1-5 Views: 191 Downloads: 88
Authors
[01] Maria Akter, Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh.
[02] Salma Nasrin, Department of Mathematics, University of Dhaka, Dhaka, Bangladesh.
Abstract
This paper is the study of invariant differential operator on homogeneous space. We study how a manifold structure for the quotient group of a Lie group can be seen as a homogeneous space and the invariant differential operator on homogeneous space is commutative when homogeneous space symmetric.
Keywords
Lie Group, Lie Algebra, Isotropy Group, Manifold, PBW Theorem and Symmetric Space
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