{"title":"无穷正交群的厄米周期性和上同调性","authors":"A. Berrick, M. Karoubi, P. A. Østvær","doi":"10.1017/IS013004016JKT224","DOIUrl":null,"url":null,"abstract":"As an application of our papers in hermitian K-theory, in favourable cases we prove the periodicity of hermitian K-groups with a shorter period than previously obtained. We also compute the homology and cohomology with field coefficients of infinite orthogonal and symplectic groups of specific rings of integers in a number field.","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"12 1","pages":"203-211"},"PeriodicalIF":0.0000,"publicationDate":"2013-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS013004016JKT224","citationCount":"0","resultStr":"{\"title\":\"Hermitian periodicity and cohomology of infinite orthogonal groups\",\"authors\":\"A. Berrick, M. Karoubi, P. A. Østvær\",\"doi\":\"10.1017/IS013004016JKT224\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"As an application of our papers in hermitian K-theory, in favourable cases we prove the periodicity of hermitian K-groups with a shorter period than previously obtained. We also compute the homology and cohomology with field coefficients of infinite orthogonal and symplectic groups of specific rings of integers in a number field.\",\"PeriodicalId\":50167,\"journal\":{\"name\":\"Journal of K-Theory\",\"volume\":\"12 1\",\"pages\":\"203-211\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1017/IS013004016JKT224\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of K-Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1017/IS013004016JKT224\",\"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 K-Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/IS013004016JKT224","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Hermitian periodicity and cohomology of infinite orthogonal groups
As an application of our papers in hermitian K-theory, in favourable cases we prove the periodicity of hermitian K-groups with a shorter period than previously obtained. We also compute the homology and cohomology with field coefficients of infinite orthogonal and symplectic groups of specific rings of integers in a number field.
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