A sufficient condition for pairing probl
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Caihui Lu; Haixia Xu
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Article
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2003
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Elsevier Science
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English
โ 92 KB
In a symmetrizable Kac-Moody algebra g(A), let ฮฑ = n i=1 k i ฮฑ i be an imaginary root satisfying k i > 0 and ฮฑ, ฮฑ โจ i < 0 for i = 1, 2, . . . , n. In this paper, it is proved that for any x ฮฑ โ g ฮฑ \ {0}, satisfying [x ฮฑ , f n ] = 0 and [x ฮฑ , f i ] = 0 for i = 1, 2, . . . , n -1, there exists a vec