V. S. Varadarajan, “Lie Groups, Lie Algebras and Their Representations,” Springer-Verlag, Berlin, 1984.
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.