Abstract
Coadjoint representations have proven to be both a rather efficient tool in representation theory, and a source of nice and useful examples in Poisson and symplectic geometry (see [81] for a fascinating survey); we simply mention here the fundamental rôle of the coadjoint representation of the Virasoro algebra for the study of Hill operators (see Introduction and Chap. 9).
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Notes
- 1.
In our case, a measure with a C ∞ density with respect to the Lebesgue measure on S 1.
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© 2012 Springer-Verlag Berlin Heidelberg
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Unterberger, J., Roger, C. (2012). Coadjoint Representation of the Schrödinger–Virasoro Group. In: The Schrödinger-Virasoro Algebra. Theoretical and Mathematical Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22717-2_3
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DOI: https://doi.org/10.1007/978-3-642-22717-2_3
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