On Some Properties of the Heisenberg Laplacian

DOI: 10.4236/apm.2012.25051   PDF   HTML   XML   3,731 Downloads   6,413 Views   Citations

Abstract

Let IHn be the (2n+1) -dimensional Heisenberg group and let Lα and be the sublaplacian and central element of the Lie algebra of IHn respectively. Forα=0 denote by L0=L the Heisenberg Laplacian and let K ∈Aut(IHn) be a compact subgroup of Au-tomorphism of IHn. In this paper, we give some properties of the Heisenberg Laplacian and prove that L and T generate the K-invariant universal enveloping algebra, U(hn)k of IHn.

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M. Egwe, "On Some Properties of the Heisenberg Laplacian," Advances in Pure Mathematics, Vol. 2 No. 5, 2012, pp. 354-357. doi: 10.4236/apm.2012.25051.

Conflicts of Interest

The authors declare no conflicts of interest.

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