ABELIAN IDEALS AND COHOMOLOGY OF SYMPLECTIC TYPE

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	ABELIAN IDEALS AND COHOMOLOGY OF SYMPLECTIC TYPE
	Luo, Li
	2009
发表期刊	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0002-9939
卷号	137 期号:2 页码:479-485
摘要	Let b be a Borel subalgebra of the symplectic Lie algebra sp( 2n, C) and let n be the corresponding maximal nilpotent subalgebra. We find a connection between the abelian ideals of b and the cohomology of n with trivial coefficients. Using this connection, we are able to enumerate the number of abelian ideals of b with given dimension via the Poincare polynomials of Weyl groups of types A(n-1) and C(n).
关键词	Abelian ideal cohomology symplectic Lie algebra Weyl group Poincare polynomial
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000260367600011
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8798
专题	中国科学院数学与系统科学研究院
通讯作者	Luo, Li
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Luo, Li. ABELIAN IDEALS AND COHOMOLOGY OF SYMPLECTIC TYPE[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,2009,137(2):479-485.
APA	Luo, Li.(2009).ABELIAN IDEALS AND COHOMOLOGY OF SYMPLECTIC TYPE.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,137(2),479-485.
MLA	Luo, Li."ABELIAN IDEALS AND COHOMOLOGY OF SYMPLECTIC TYPE".PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 137.2(2009):479-485.