Communications in Algebra · 1999 · 13 citations · 10 references
Natural SciencesMathematicsAlgebraAbstract AlgebraGroup TheoryLie AlgebrasLie GroupsLinear AlgebraInner Product SpacesLie Algebra ClassificationLie Algebra ModulesLie Algebra TheoryNilpotent Lie AlgebrasSubject Classification
Abstract We give a characterization of the Lie algebras of H-type independent of the inner product used in the definition. We classify the real 2-step nilpotent Lie algebras with 2-dimensional center. Using these results we give examples of regular Lie algebras that are not H-type. 1991 Mathematics Subject Classification: P: 17B30S: 15A63
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H-type groups and Iwasawa decompositions
Michael Cowling, A. H. Dooley, Adam Korányi et al. · Advances in Mathematics · 1991 · 207 citations
On the Geometry of Groups of Heisenberg Type
Aroldo Kaplan · Bulletin of the London Mathematical Society · 1983 · 200 citations