Invariants of solvable Lie algebras with triangular nilradicals and diagonal nilindependent elements
arXiv:0706.2465 · doi:10.1016/j.laa.2007.08.017
Abstract
The invariants of solvable Lie algebras with nilradicals isomorphic to the algebra of strongly upper triangular matrices and diagonal nilindependent elements are studied exhaustively. Bases of the invariant sets of all such algebras are constructed by an original purely algebraic algorithm based on Cartan's method of moving frames.
21 pages, enhanced and extended version. Section 2 reviews the method of finding invariants of Lie algebras that was proposed in arXiv:math-ph/0602046 and arXiv:math-ph/0606045. The computation is based on developing a specific technique given in arXiv:0704.0937. Results generalize ones of arXiv:0705.2394 to the case of arbitrary relevant number of nilindependent elements
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Cited by in corpus (6)
- All solvable extensions of a class of nilpotent Lie algebras of dimension n and degree of nilpotency n-1
- Some cohomologically rigid solvable Leibniz algebras
- The classification of 4-dimensional Leibniz algebras
- Classification of solvable Leibniz algebras with null-filiform nilradical
- Invariants of Lie algebras via moving frames
- Solvable Leibniz algebras with quasi-filiform Lie algebras of maximum length nilradicals