2009•arXiv (Cornell University)Open access

Invariants of Lie algebras via moving frames

V. Boyko, J. Patera, Roman O. Popovych

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Abstract

A purely algebraic algorithm for computation of invariants (generalized Casimir operators) of Lie algebras by means of moving frames is discussed. Results on the application of the method to computation of invariants of low-dimensional Lie algebras and series of solvable Lie algebras restricted only by a required structure of the nilradical are reviewed.

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A purely algebraic algorithm for computation of invariants (generalized Casimir operators) of Lie algebras by means of moving frames is discussed. Results on the application of the method to computation of invariants of low-dimensional Lie algebras and series of solvable Lie algebras restricted only by a required structure of the nilradical are reviewed.

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Available abstract

A purely algebraic algorithm for computation of invariants (generalized Casimir operators) of Lie algebras by means of moving frames is discussed. Results on the application of the method to computation of invariants of low-dimensional Lie algebras and series of solvable Lie algebras restricted only by a required structure of the nilradical are reviewed.

Key concepts: Computation, Adjoint representation of a Lie algebra, Mathematics, Casimir effect, Lie algebra, Pure mathematics, Algebra over a field, Series (stratigraphy)

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