On the spectral parameter problem

Abstract

We consider the problem whether a nonparametric zero-curvature representation can be embedded into a one-parameter family within the same Lie algebra. After introducing a computable cohomological obstruction, a method using the recursion operator to incorporate the parameter is discussed.

24 pages; v2: mainly corrected exposition (esp. the examples) and added references

References in corpus (3)

• Cyclic bases of zero-curvature representations: five illustrations to one concept
• Recursion operator for the IGSG equation
• Recursion operators for vacuum Einstein equations with symmetries

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