Mathematical Institute, Silesian University in Opava,
Bezrucovo nam. 13, 746 01 Opava, CZECH REPUBLIC
E-mail: M.Marvan@math.slu.cz

Reducibility of zero curvature representations with application to inverse recursion operators

A zero curvature representation (ZCR) taking values in a solvable subalgebra is equivalent to a chain of conservation laws. A criterion to detect reducibility of a ZCR to a solvable subalgebra will be presented. Given an inverse recursion operator in Guthrie form, results lead to a recipe to express it in terms of D-1.