Solvable Lie algebras with Heisenberg ideals
Jacques L. RubinInst. Non-Lineaire, Nice Univ., FranceP. WinternitzInst. Non-Lineaire, Nice Univ., France
1993en
ABI
Abstract
All finite-dimensional indecomposable solvable Lie algebras L(n,f), having the Heisenberg algebra H(n) as the nilradical, are constructed. The number of non-nilpotent elements f that can be added to H(n) satisfies f<or=n+1. The Casimir and generalized Casimir operators of the algebras L(n, f) are obtained.
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Cited by 130 references