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

Authors
김연옥
Issue Date
Feb-2005
Publisher
한국수학교육학회
Keywords
Kac-Moody Lie Algebra; affine type; Weyl group.
Citation
순수 및 응용수학, v.12, no.1, pp.65 - 73
Journal Title
순수 및 응용수학
Volume
12
Number
1
Start Page
65
End Page
73
URI
http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/19654
ISSN
1226-0657
Abstract
Let g = g(A) = N− h N+ be a symmetrizable Kac-Moody Lie algebra of type D(1) l 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 , the highest root.
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