Invariants of Triangular Lie Algebras with One Nilindependent Diagonal Element
نویسندگان
چکیده
The invariants of solvable triangular Lie algebras with one nilindependent diagonal element are studied exhaustively. Bases of the invariant sets of all such algebras are constructed using an original algebraic algorithm based on Cartan’s method of moving frames. The conjecture of Tremblay and Winternitz [J.Phys. A: Math. Gen., 2001, V.34, 9085] on the number and form of elements in the bases is completed and proved.
منابع مشابه
Invariants of Solvable Lie Algebras with Triangular Nilradicals and Diagonal Nilindependent Elements
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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