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Root Multiplicities of the Hyperbolic Kac-Moody Lie Algebra HA(1)1

✍ Scribed by S.J. Kang

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 706 KB
Volume: 160
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1993.1198

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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

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Nilpotent Lie Algebras of Maximal Rank and of Kac–Moody Type: E6(1)

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The first family of Kac-Moody Lie algebras studied are the simple Lie algebras. The study of nilpotent Lie algebras of maximal rank and of type A B C D was made by Favre and Santharoubane in [5]. Later, Agrafiotou and Tsagas studied these algebras, of types E 6 E 7 , and E 8 finding that there exist