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DEGREE, MIXING, AND ABSOLUTELY CONTINUOUS SPECTRUM OF COCYCLES WITH VALUES IN COMPACT LIE GROUPS
We consider skew products transformationswhere X is a compact manifold with probability measure µ X , G a compact Lie group with Lie algebra g, F1 : X → X the time-one map of a measure-preserving flow, and φ ∈ C 1 (X, G) a cocycle.Then, we define the degree …