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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.17 No.1

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A NOTE ON THE RANK 2 SYMMETRIC HYPERBOLIC KAC-MOODY ALGEBRAS

A NOTE ON THE RANK 2 SYMMETRIC HYPERBOLIC KAC-MOODY ALGEBRAS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2010, v.17 no.1, pp.107-113
Kim, Yeon-Ok (DEPARTMENT OF MATHEMATICS, SOONGSIL UNIVERSITY)
Kim, Yeon-Ok. (2010). A NOTE ON THE RANK 2 SYMMETRIC HYPERBOLIC KAC-MOODY ALGEBRAS. 한국수학교육학회지시리즈B:순수및응용수학, 17(1), 107-113.

Abstract

In this paper, we study the root system of rank 2 symmetric hyperbolic Kac-Moody algebras. We give the sufficient conditions for existence of imaginary roots of square length -2k (<TEX>$k\;{\in}\;\mathbb{Z}$</TEX>>0). We also give several relations between the roots on g(A).

keywords
generalized Cartan matrix, Kac-Moody algebra, hyperbolic type

참고문헌

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Feingold, Alex Jay. (1980). A Hyperbolic GCM Lie Algebra and the Fibonacci Numbers. Proceedings of the American Mathematical Society, 80(3), 379-385. 10.1090/S0002-9939-1980-0580988-6.

한국수학교육학회지시리즈B:순수및응용수학

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