HOCHSCHILD COHOMOLOGY AND DOMINANT DIMENSION
文献类型：期刊论文
| 作者 | Fang, Ming2,3 ; Miyachi, Hyohe1
|
| 刊名 | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 2019-04-15 |
| 卷号 | 371期号:8页码:5267-5292 |
| 关键词 | Hochschild cohomology dominant dimension Schur algebra |
| ISSN号 | 0002-9947 |
| DOI | 10.1090/tran/7704 |
| 英文摘要 | A new approach is established to compare Hochschild cohomologies of an algebra and of its centralizer subalgebras. This approach is based on dominant dimension, a homological dimension that is shown to control the comparison in a precise sense for a large class of algebras including classical and quantized Schur algebras. For the same class of algebras, it is shown that derived equivalences preserve dominant dimension. This is applied to determine the dominant dimensions of q-Schur algebras and of their blocks. |
| 资助项目 | National Natural Science Foundation of China[11471315] ; National Natural Science Foundation of China[11321101] ; JSPS[24740011] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000464034200002 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/34446]  |
| 专题 | 数学所 |
| 通讯作者 | Fang, Ming |
| 作者单位 | 1.Osaka City Univ, Dept Math, Osaka 5588285, Japan 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Fang, Ming,Miyachi, Hyohe. HOCHSCHILD COHOMOLOGY AND DOMINANT DIMENSION[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2019,371(8):5267-5292. |
| APA | Fang, Ming,&Miyachi, Hyohe.(2019).HOCHSCHILD COHOMOLOGY AND DOMINANT DIMENSION.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,371(8),5267-5292. |
| MLA | Fang, Ming,et al."HOCHSCHILD COHOMOLOGY AND DOMINANT DIMENSION".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 371.8(2019):5267-5292. |
入库方式： OAI收割
来源：数学与系统科学研究院
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