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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

On the hyperbolic Kac-Moody Lie algebra $ HA\sb 1\sp {(1)}$


Author: Seok-Jin Kang
Journal: Trans. Amer. Math. Soc. 341 (1994), 623-638
MSC: Primary 17B67; Secondary 11B65
DOI: https://doi.org/10.1090/S0002-9947-1994-1120776-X
MathSciNet review: 1120776
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Abstract: In this paper, using a homological theory of graded Lie algebras and the representation theory of $ A_1^{(1)}$, we compute the root multiplicities of the hyperbolic Kac-Moody Lie algebra $ HA_1^{(1)}$ up to level $ 4$ and deduce some interesting combinatorial identities.


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DOI: https://doi.org/10.1090/S0002-9947-1994-1120776-X
Article copyright: © Copyright 1994 American Mathematical Society