Hochschild cohomology of Beilinson algebra of exterior algebra
文献类型：期刊论文
| 作者 | Xu YunGe2; Zhang Chao2; Ma XiaoJing2; Hu QingFeng2 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2012 |
| 卷号 | 55期号:6页码:1153-1170 |
| 关键词 | REPRESENTATION DIMENSION RESOLUTIONS RING Beilinson algebra finite global dimension Hochschild cohomology ring parallel path |
| ISSN号 | 1674-7283 |
| 其他题名 | Hochschild cohomology of Beilinson algebra of exterior algebra |
| 英文摘要 | Let I > (n) be the Beilinson algebra of exterior algebra of an n-dimensional vector space, which is derived equivalent to the endomorphism algebra of a tilting complex T = I (i=0) (n) O (X) (i) of coherent O (X) -modules over a projective scheme X = P (k) (n) . In this paper we first construct a minimal projective bimodule resolution of I > (n) , and then apply it to calculate k-dimensions of the Hochschild cohomology groups of I > (n) in terms of parallel paths. Finally, we give an explicit description of the cup product and obtain a Gabriel presentation of Hochschild cohomology ring of I > (n) . As a consequence, we provide a class of algebras of finite global dimension whose Hochschild cohomology rings have non-trivial multiplicative structures. |
| 资助项目 | [National Natural Science Foundation of China] ; [Important Foundation of Hubei Provincial Department of Education] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:4598149 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52784]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.中国科学院数学与系统科学研究院 2.湖北大学 |
| 推荐引用方式 GB/T 7714 | Xu YunGe,Zhang Chao,Ma XiaoJing,et al. Hochschild cohomology of Beilinson algebra of exterior algebra[J]. SCIENCE CHINA-MATHEMATICS,2012,55(6):1153-1170. |
| APA | Xu YunGe,Zhang Chao,Ma XiaoJing,&Hu QingFeng.(2012).Hochschild cohomology of Beilinson algebra of exterior algebra.SCIENCE CHINA-MATHEMATICS,55(6),1153-1170. |
| MLA | Xu YunGe,et al."Hochschild cohomology of Beilinson algebra of exterior algebra".SCIENCE CHINA-MATHEMATICS 55.6(2012):1153-1170. |
入库方式： OAI收割
来源：数学与系统科学研究院
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