Abstract
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 language | English |
|---|---|
| Pages (from-to) | 711-727 |
| Number of pages | 17 |
| Journal | Journal of Lie Theory |
| Volume | 21 |
| Issue number | 3 |
| State | Published - 2011 |
Keywords
- Heisen-berg type Lie algebra
- Heisenberg-like Lie algebra
- Nilpotent Lie algebras
- Nilpotent Lie groups