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The Kac formula for the N = 1 and the N = 2 super-conformal algebras

โœ Scribed by Soonkeon Nam


Book ID
113350643
Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
288 KB
Volume
172
Category
Article
ISSN
0370-2693

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Root Multiplicities of the Kac-Moody Alg
โœ S.J. Kang; D.J. Melville ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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