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Invariant star products and representations of compact semisimple Lie groups

✍ Scribed by Carlos Moreno


Publisher
Springer
Year
1986
Tongue
English
Weight
437 KB
Volume
12
Category
Article
ISSN
0377-9017

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Moyal Product and Representations of Sol
✍ D Arnal; J.C Cortet; J Ludwig πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 640 KB

Using a parametrization for the universal covering \(c_{10}\) of any coadjoint orbit \(c\) of a solvable (connected and simply connected) Lie group \(G\), we prove that the Moyal product on \(\mathfrak{c}_{0}\) gives a realization of the unitary representations canonically associated to the orbit (