{"title":"关于SL3(C)中若干有限子群的基本不变量","authors":"O. I. Rudnitskií","doi":"10.17223/19988621/81/4","DOIUrl":null,"url":null,"abstract":"The work is devoted to the study of algebras of invariants of finite unitary groups G' = G∩SL3(C), where G is a finite unitary irreducible primitive group generated by reflections in the unitary space U3. It is known that the system of invariants of the group G' that form an algebra is obtained from the system of invariants of the group G that form the algebra by adding all semi-invariants of the group G of a special form. In the paper, generators of the algebras of invariants of all the indicated groups G' are constructed.","PeriodicalId":43729,"journal":{"name":"Vestnik Tomskogo Gosudarstvennogo Universiteta-Matematika i Mekhanika-Tomsk State University Journal of Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On basic invariants of some finite subgroups in SL3(C)\",\"authors\":\"O. I. Rudnitskií\",\"doi\":\"10.17223/19988621/81/4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The work is devoted to the study of algebras of invariants of finite unitary groups G' = G∩SL3(C), where G is a finite unitary irreducible primitive group generated by reflections in the unitary space U3. It is known that the system of invariants of the group G' that form an algebra is obtained from the system of invariants of the group G that form the algebra by adding all semi-invariants of the group G of a special form. In the paper, generators of the algebras of invariants of all the indicated groups G' are constructed.\",\"PeriodicalId\":43729,\"journal\":{\"name\":\"Vestnik Tomskogo Gosudarstvennogo Universiteta-Matematika i Mekhanika-Tomsk State University Journal of Mathematics and Mechanics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Vestnik Tomskogo Gosudarstvennogo Universiteta-Matematika i Mekhanika-Tomsk State University Journal of Mathematics and Mechanics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17223/19988621/81/4\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Vestnik Tomskogo Gosudarstvennogo Universiteta-Matematika i Mekhanika-Tomsk State University Journal of Mathematics and Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17223/19988621/81/4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
On basic invariants of some finite subgroups in SL3(C)
The work is devoted to the study of algebras of invariants of finite unitary groups G' = G∩SL3(C), where G is a finite unitary irreducible primitive group generated by reflections in the unitary space U3. It is known that the system of invariants of the group G' that form an algebra is obtained from the system of invariants of the group G that form the algebra by adding all semi-invariants of the group G of a special form. In the paper, generators of the algebras of invariants of all the indicated groups G' are constructed.
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