KMS Of Academy of mathematics and systems sciences, CAS
Representations of nongraded Lie algebras of block type | |
Zhao, YF | |
2006-02-01 | |
发表期刊 | MANUSCRIPTA MATHEMATICA |
ISSN | 0025-2611 |
卷号 | 119期号:2页码:183-216 |
摘要 | From his classification of quadratic conformal algebras corresponding to certain Hamiltonian pairs in integrable systems, Xu found a family of simple Lie algebras related to pairs of locally-finite derivations on certain commutative associative algebras. In this paper, we construct a large family of irreducible modules with four parameters for Xu's two-devivation algebras via the corresponding algebras of Weyl type. When the derivations are graded operators, we obtain a large family of uniformly-bounded irreducible weight modules for the Block algebras. |
DOI | 10.1007/s00229-005-0614-x |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000235138600003 |
出版者 | SPRINGER |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/3561 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Zhao, YF |
作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Zhao, YF. Representations of nongraded Lie algebras of block type[J]. MANUSCRIPTA MATHEMATICA,2006,119(2):183-216. |
APA | Zhao, YF.(2006).Representations of nongraded Lie algebras of block type.MANUSCRIPTA MATHEMATICA,119(2),183-216. |
MLA | Zhao, YF."Representations of nongraded Lie algebras of block type".MANUSCRIPTA MATHEMATICA 119.2(2006):183-216. |
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