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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.12 No.1

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A NOTE ON THE ROOT SPACES OF AFFINE LIE ALGEBRAS OF TYPE <TEX>$D_{\iota}^{(1)}$</TEX>

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

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2005, v.12 no.1, pp.65-73
KIM YEONOK (DEPARTMENT OF MATHEMATICS)
KIM YEONOK. (2005). A NOTE ON THE ROOT SPACES OF AFFINE LIE ALGEBRAS OF TYPE <TEX>$D_{\iota}^{(1)}$</TEX>. , 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

한국수학교육학회지시리즈B:순수및응용수학

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