Azad, Hassan ; Biswas, Indranil (2009) A note on the symplectic geometry of semisimple groups Bulletin des Sciences Mathematiques, 133 (4). pp. 330-334. ISSN 0007-4497
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00074...
Related URL: http://dx.doi.org/10.1016/j.bulsci.2009.02.002
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 Kahler with respect to the complex structure of KC.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 3643 |
| Deposited On: | 18 Oct 2010 10:15 |
| Last Modified: | 27 Jan 2011 06:38 |
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