Symmetry in Nonlinear Mathematical Physics - 2009

Vyacheslav Boyko (Institute of Mathematics, Kyiv, Ukraine)
Jiri Patera (Centre de Recherches Mathématiques, Université de Montréal, Canada)
Roman Popovych (Institute of Mathematics, Kyiv, Ukraine & University of Vienna, Austria)

Invariants of Lie algebras via moving frames

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.