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On Root Multiplicities of Some Hyperbolic Kac–Moody Algebras

✍ Scribed by Michel Bauer-Violette; Denis Bernard


Book ID
110249467
Publisher
Springer
Year
1997
Tongue
English
Weight
140 KB
Volume
42
Category
Article
ISSN
0377-9017

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Root Multiplicities of the Kac-Moody Alg
✍ S.J. Kang; D.J. Melville 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 652 KB

We give a root multiplicity formula for all the roots of almost hyperbolic Kac-Moody algebras \(H A_{n}^{(1)}\). We use the path realization of crystal bases for the irreducible highest weight modules over quantum affine Lie algebras \(U_{q}\left(A_{n}^{(1)}\right)\) to determine the root multiplici