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Mackey analysis of
infinite classical motion groups
Douglas Murray Pickrell |
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Vol. 150 (1991), No. 1, 139–166
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Abstract |
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Representation theory for infinite classical motion groups is formulated in terms of invariant measure classes and cocycle cohomology. It is shown that invariant measure classes are always represented by invariant probability measures, and these classes are determined for Cartan motion groups. The existence of “induced” cocycle cohomology is established in this ergodic setting. Also it is shown that the continuity properties of representations are rather rigidly determined. |
Mathematical Subject Classification 2000
Primary: 22E65
Secondary: 43A80
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Milestones
Received: 10 April 1989
Published: 1 September 1991
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Authors |
| Douglas Murray Pickrell | |
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