ABELIAN IDEALS AND COHOMOLOGY OF SYMPLECTIC TYPE
文献类型：期刊论文
| 作者 | Luo, Li |
| 刊名 | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000260367600011 |
| 出版者 | AMER MATHEMATICAL SOC |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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