Extended Affine Root Systems of Type BC

Extended Affine Root Systems of Type BC
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BC 型扩展仿射根系

DOI:
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发表时间:
2004
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通讯作者:
D. Hoffman
D. Hoffman
中科院分区:
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文献类型:
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作者:
Κ. R. Czerwinski;C. Kacher;Κ. E. Gregorich;T. Hamilton;Ν. J. Hannink;Β. Kadkhodayan;S. Kreek;D. Lee;M. Nurmia;A. Türler;G. Seaborg;D. Hoffman

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在零值≤ 3的条件下,我们对BC型扩张仿射根系进行了最一般意义下的分类.我们证明了这些抽象定义的根系是一类李代数的根系,这类李代数是公理定义的,并且与扩展仿射李代数类密切相关。
We classify the BC -type extended affine root systems for nullity ≤ 3, in its most general sense. We show that these abstractly defined root systems are the root systems of a class of Lie algebras which are axiomatically defined and are closely related to the class of extended affine Lie algebras.