Invariants of solvable Lie algebras with triangular nilradicals and diagonal nilindependent elements


Abstract in English

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 Cartans method of moving frames.

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