ABELIAN IDEALS AND COHOMOLOGY OF SYMPLECTIC TYPE | |
Luo, Li | |
刊名 | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY |
2009 | |
卷号 | 137期号:2页码:479-485 |
关键词 | Abelian ideal cohomology symplectic Lie algebra Weyl group Poincare polynomial |
ISSN号 | 0002-9939 |
英文摘要 | 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). |
语种 | 英语 |
出版者 | AMER MATHEMATICAL SOC |
WOS记录号 | WOS:000260367600011 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8797] |
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. |
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