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L. P. Rothschild, “Local Solvability of Left-Invariant Differential Operators on the Heisenberg Group,” Proceedings of the American Mathematical Society, Vol. 74, No. 2, 1979, pp. 383-388. doi:10.1090/S0002-9939-1979-0524323-X

has been cited by the following article:

• TITLE: On Some Properties of the Heisenberg Laplacian

  AUTHORS: M. E. Egwe

  KEYWORDS: Heisenberg Group; Heisenberg Laplacian; Factorization; Universal Enveloping Algebra; Solvability

  JOURNAL NAME: Advances in Pure Mathematics, Vol.2 No.5, September 26, 2012

  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.