无穷维系数的cones - moscovici Hopf代数的Hopf-循环上同调

Pub Date : 2018-04-28 DOI:10.1007/s40062-018-0205-7

B. Rangipour, S. Sütlü, F. Yazdani Aliabadi

{"title":"无穷维系数的cones - moscovici Hopf代数的Hopf-循环上同调","authors":"B. Rangipour, S. Sütlü, F. Yazdani Aliabadi","doi":"10.1007/s40062-018-0205-7","DOIUrl":null,"url":null,"abstract":"We discuss a new strategy for the computation of the Hopf-cyclic cohomology of the Connes–Moscovici Hopf algebra \\(\\mathcal{H}_n\\). More precisely, we introduce a multiplicative structure on the Hopf-cyclic complex of \\(\\mathcal{H}_n\\), and we show that the van Est type characteristic homomorphism from the Hopf-cyclic complex of \\(\\mathcal{H}_n\\) to the Gelfand–Fuks cohomology of the Lie algebra \\(W_n\\) of formal vector fields on \\({\\mathbb {R}}^n\\) respects this multiplicative structure. We then illustrate the machinery for \\(n=1\\).","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40062-018-0205-7","citationCount":"2","resultStr":"{\"title\":\"Hopf-cyclic cohomology of the Connes–Moscovici Hopf algebras with infinite dimensional coefficients\",\"authors\":\"B. Rangipour, S. Sütlü, F. Yazdani Aliabadi\",\"doi\":\"10.1007/s40062-018-0205-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We discuss a new strategy for the computation of the Hopf-cyclic cohomology of the Connes–Moscovici Hopf algebra \\\\(\\\\mathcal{H}_n\\\\). More precisely, we introduce a multiplicative structure on the Hopf-cyclic complex of \\\\(\\\\mathcal{H}_n\\\\), and we show that the van Est type characteristic homomorphism from the Hopf-cyclic complex of \\\\(\\\\mathcal{H}_n\\\\) to the Gelfand–Fuks cohomology of the Lie algebra \\\\(W_n\\\\) of formal vector fields on \\\\({\\\\mathbb {R}}^n\\\\) respects this multiplicative structure. We then illustrate the machinery for \\\\(n=1\\\\).\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2018-04-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1007/s40062-018-0205-7\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40062-018-0205-7\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s40062-018-0205-7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 2

摘要

讨论了一种计算Connes-Moscovici Hopf代数Hopf-循环上同调的新策略\(\mathcal{H}_n\)。更确切地说，我们在\(\mathcal{H}_n\)的hopf -循环复合体上引入了一个乘法结构，并证明了从\(\mathcal{H}_n\)的hopf -循环复合体到\({\mathbb {R}}^n\)上形式向量场的李代数\(W_n\)的Gelfand-Fuks上同调的van Est型特征同态遵从这个乘法结构。然后我们说明\(n=1\)的机制。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

Hopf-cyclic cohomology of the Connes–Moscovici Hopf algebras with infinite dimensional coefficients

We discuss a new strategy for the computation of the Hopf-cyclic cohomology of the Connes–Moscovici Hopf algebra \(\mathcal{H}_n\). More precisely, we introduce a multiplicative structure on the Hopf-cyclic complex of \(\mathcal{H}_n\), and we show that the van Est type characteristic homomorphism from the Hopf-cyclic complex of \(\mathcal{H}_n\) to the Gelfand–Fuks cohomology of the Lie algebra \(W_n\) of formal vector fields on \({\mathbb {R}}^n\) respects this multiplicative structure. We then illustrate the machinery for \(n=1\).

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助