On the invariants of some solvable rigid Lie algebras

Details On the invariants of some solvable rigid Lie algebras On the invariants of some solvable rigid Lie algebras

2002-04-05

arxiv.org/abs/math/0204074v2

J. Math. Phys. 44 (2003), 771-784.

Mathematics

Rings and Algebras

LaTex, 13 pages, 1 table

Scientific paper

10.1063/1.1532536

We determine fundamental systems of invariants for complex solvable rigid Lie algebras having nonsplit nilradicals of characteristic sequence $(3,1,..,1)$, these algebras being the natural followers of solvable algebras having Heisenberg nilradicals. A special case of this allows us to obtain a criterion to determine the number of functionally independent invariants of rank one subalgebras of (real or complex) solvable Lie algebras. Finally, we give examples of the inverse procedure, obtaining fundamental systems of an algebra starting from rank one subalgebras.

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