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A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras

✍ Scribed by Peter Littelmann

Publisher
Springer-Verlag
Year
1994
Tongue
English
Weight
787 KB
Volume
116
Category
Article
ISSN
0020-9910

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A sufficient condition for pairing probl
A sufficient condition for pairing problem of generators in symmetrizable Kac–Moody algebras
✍ Caihui Lu; Haixia Xu 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 92 KB

In a symmetrizable Kac-Moody algebra g(A), let α = n i=1 k i α i be an imaginary root satisfying k i > 0 and α, α ∨ i < 0 for i = 1, 2, . . . , n. In this paper, it is proved that for any x α ∈ g α \ {0}, satisfying [x α , f n ] = 0 and [x α , f i ] = 0 for i = 1, 2, . . . , n -1, there exists a vec