Abstract
Aproof of Thompson’s conjecture for real semisimple Lie groups has been given by Kapovich, Millson, and Leeb. In this paper, we give another proof of the conjecture by using a theorem of Alekseev, Meinrenken, and Woodward from symplectic geometry.
The research of the first author was partially supported by NSF grant DMS-9970102. The research of the second author was partially supported by NSF grant DMS-0105195, by HHY Physical Sciences Fund, and by the New Staff Seeding Fund at HKU.
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Dedicated to Professor Alan Weinstein for his 60th birthday.
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Evens, S., Lu, JH. (2005). Thompson’s conjecture for real semisimple Lie groups. In: Marsden, J.E., Ratiu, T.S. (eds) The Breadth of Symplectic and Poisson Geometry. Progress in Mathematics, vol 232. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4419-9_5
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DOI: https://doi.org/10.1007/0-8176-4419-9_5
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