{"title":"论自旋群的特征类模扭性","authors":"Nikita A. Karpenko","doi":"10.1142/s0219498825502366","DOIUrl":null,"url":null,"abstract":". We study the ring of Chow characteristic classes (also called the Chow ring of the classifying space) for the split spin group Spin( n ) with n odd or divisible by 4. For such n up to 12, we determine this ring modulo torsion","PeriodicalId":508127,"journal":{"name":"Journal of Algebra and Its Applications","volume":"11 2","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On Characteristic Classes Modulo Torsion for Spin Groups\",\"authors\":\"Nikita A. Karpenko\",\"doi\":\"10.1142/s0219498825502366\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". We study the ring of Chow characteristic classes (also called the Chow ring of the classifying space) for the split spin group Spin( n ) with n odd or divisible by 4. For such n up to 12, we determine this ring modulo torsion\",\"PeriodicalId\":508127,\"journal\":{\"name\":\"Journal of Algebra and Its Applications\",\"volume\":\"11 2\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-03-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Algebra and Its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1142/s0219498825502366\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Algebra and Its Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s0219498825502366","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
.我们研究的是 n 为奇数或可被 4 整除的分裂自旋群 Spin( n ) 的周特征类环(也称为分类空间的周环)。
On Characteristic Classes Modulo Torsion for Spin Groups
. We study the ring of Chow characteristic classes (also called the Chow ring of the classifying space) for the split spin group Spin( n ) with n odd or divisible by 4. For such n up to 12, we determine this ring modulo torsion