{"title":"对称子类别,倾斜模块和派生集合","authors":"Hongxing Chen, Changchang Xi","doi":"10.4171/rmi/1410","DOIUrl":null,"url":null,"abstract":"For any good tilting module T over a ring A, there exists an n-symmetric subcategory E of a module category such that the derived category of the endomorphism ring of T is a recollement of the derived categories of E and A in the sense of Beilinson-Bernstein-Deligne. Thus the kernel of the total left-derived tensor functor induced by the tilting module is triangle equivalent to the derived category of E .","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2021-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Symmetric subcategories, tilting modules, and derived recollements\",\"authors\":\"Hongxing Chen, Changchang Xi\",\"doi\":\"10.4171/rmi/1410\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For any good tilting module T over a ring A, there exists an n-symmetric subcategory E of a module category such that the derived category of the endomorphism ring of T is a recollement of the derived categories of E and A in the sense of Beilinson-Bernstein-Deligne. Thus the kernel of the total left-derived tensor functor induced by the tilting module is triangle equivalent to the derived category of E .\",\"PeriodicalId\":49604,\"journal\":{\"name\":\"Revista Matematica Iberoamericana\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2021-06-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Revista Matematica Iberoamericana\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4171/rmi/1410\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Revista Matematica Iberoamericana","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4171/rmi/1410","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Symmetric subcategories, tilting modules, and derived recollements
For any good tilting module T over a ring A, there exists an n-symmetric subcategory E of a module category such that the derived category of the endomorphism ring of T is a recollement of the derived categories of E and A in the sense of Beilinson-Bernstein-Deligne. Thus the kernel of the total left-derived tensor functor induced by the tilting module is triangle equivalent to the derived category of E .
期刊介绍:
Revista Matemática Iberoamericana publishes original research articles on all areas of mathematics. Its distinguished Editorial Board selects papers according to the highest standards. Founded in 1985, Revista is a scientific journal of Real Sociedad Matemática Española.