On ad-nilpotent b-ideals for orthogonal Lie algebras

被引：0
作者：
Li Li Liu
Li Luo
机构：
[1] East China Normal University,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2013年 / 29卷
关键词：
Orthogonal Lie algebra; Borel subalgebra; ad-nilpotent ideal; 17B05; 17B20;
D O I：
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学科分类号：
摘要：
Krattenthaler, Orsina and Papi provided explicit formulas for the number of ad-nilpotent ideals with fixed class of nilpotence of a Borel subalgebra of a classical Lie algebra. Especially for types A and C they obtained refined results about these ideals with not only fixed class of nilpotence but also fixed dimension. In this paper, we shall follow their algorithm to determine the enumeration of ad-nilpotent b-ideals with fixed class of nilpotence and dimension for orthogonal Lie algebras, i.e., types B and D.
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页码：241 / 262
页数：21
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