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SYMMETRY OF DIPOLARIZATIONS IN SEMISIMPLE LIE ALGEBRAS

Deng Shaoqiang (Department of Mathematics, Nankai University, Tianjin, 300071) Zhao Guangsheng (Department of Fundamental Sciences, Beijing Agricultural University, Beijing, 100094)  
This paper proves that any dipolarization in a real or complex semisimple Lie algebra is symmetric. Thus a complete answer to the open problem in reference [2] is gaven.
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