Solvable Lie algebras with quasifiliform nilradicals. (English) Zbl 1230.17007
Summary: All finite-dimensional indecomposable solvable Lie algebras \(\mathfrak g\), having the quasifiliform Lie algebra \(\overline N\) as the nilradical, are constructed and classified. It turns out that the dimension of \(\mathfrak g\) is at most \(\dim\,\overline N +3\).
MSC:
| 17B30 | Solvable, nilpotent (super)algebras |
| 17B40 | Automorphisms, derivations, other operators for Lie algebras and super algebras |
| 17B70 | Graded Lie (super)algebras |
References:
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