A note on the symplectic geometry of semisimple groups |
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| Authors: | Hassan Azad |
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| Affiliation: | a Department of Mathematical Sciences, King Fahd University, Dhahran 31261, Saudi Arabia
b School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India |
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| Abstract: | Let KC be the complexification of a compact connected Lie group K. Fixing a K-invariant inner product on Lie(K), the total space of T∗K is identified with KC. We show that the Liouville symplectic form on T∗K is Kähler with respect to the complex structure of KC. |
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