Characterizations of heisenberg-like lie algebras

Rachelle C. DeCoste, Lisa DeMeyer, Maura B. Mast

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We obtain characterizations of Heisenberg-like Lie algebras which are generalizations of results on Lie algebras of Heisenberg type, including a characterization for Heisenberg-like Lie algebras in terms of the curvature trans- formation. We also establish in nite families of examples of Lie algebras which are Heisenberg-like, but not Heisenberg type, including examples arising from representations of su(2). Mathematics Subject Classi cation 2000: Primary 53C30, Secondary 22E25.

Original languageEnglish
Pages (from-to)711-727
Number of pages17
JournalJournal of Lie Theory
Issue number3
StatePublished - 2011


  • Heisen-berg type Lie algebra
  • Heisenberg-like Lie algebra
  • Nilpotent Lie algebras
  • Nilpotent Lie groups


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