Invariants of Solvable Lie Algebras with Triangular Nilradicals and Diagonal Nilindependent Elements

Details Invariants of Solvable Lie Algebras with Triangular Nilradicals and Diagonal Nilindependent Elements Invariants of Solvable Lie Algebras with Triangular Nilradicals and Diagonal Nilindependent Elements

2007-06-17

arxiv.org/abs/0706.2465v3

Linear Algebra Appl. 428 (2008), 834-854

Physics

Mathematical Physics

LaTeX2e, 19 pages, misprints are corrected; Linear Algebra Appl., in press

Scientific paper

10.1016/j.laa.2007.08.017

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.

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