Root Multiplicities of the Kac-Moody Algebras HA(1)n

✍ Scribed by S.J. Kang; D.J. Melville

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 652 KB
• Volume: 170
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1994.1338

✦ Synopsis

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 multiplicities. 1994 Academic Press, Inc.