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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
- 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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Collections - College of Natural Sciences > Department of Mathematics > 1. Journal Articles
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