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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On the hyperbolic Kac-Moody Lie algebra $HA_ 1^ {(1)}$
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by Seok-Jin Kang PDF
Trans. Amer. Math. Soc. 341 (1994), 623-638 Request permission

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.
References
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • 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