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

ISSN : 1226-0657

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Vol.12 No.1

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A Note on the Root Spaces of Affine Lie Algebras of Type $D_{l}^{(1)}$

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2005, v.12 no.1, pp.65-73
KIM YEONOK
KIM, Y. (2005). A Note on the Root Spaces of Affine Lie Algebras of Type $D_{l}^{(1)}$. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 12(1), 65-73.

Abstract

Let g = g(A) = (equation omitted) + be a symmetrizable Kac-Moody Lie algebra of type D/sub l//sup (1) with W as its Weyl group. We construct a sequence of root spaces with certain conditions. We also find the number of terms of this sequence is less then or equal to the hight of θ, the highest root.

keywords
Kac-Moody Lie Algebra, affine type, Weyl group

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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