圣彼得堡线性组合学校:II.苏斯林的早期作品

IF 0.4 Q4 MATHEMATICS
N. A. Vavilov
{"title":"圣彼得堡线性组合学校:II.苏斯林的早期作品","authors":"N. A. Vavilov","doi":"10.1134/s106345412401014x","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The present survey describes the contribution of St. Petersburg mathematicians to the theory of linear, classical, and algebraic groups. The second part is devoted to the publications by Suslin of the 1970s and early 1980s, in the areas of classical algebraic <i>K</i>-theory and the theories of linear and classical groups. In addition, we describe the general context of these works and state some of the most important results by Suslin himself, and his students, and some of the most closely related follow-ups and subsequent results.</p>","PeriodicalId":43418,"journal":{"name":"Vestnik St Petersburg University-Mathematics","volume":"55 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2024-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"St. Petersburg School of Linear Groups: II. Early Works by Suslin\",\"authors\":\"N. A. Vavilov\",\"doi\":\"10.1134/s106345412401014x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p>The present survey describes the contribution of St. Petersburg mathematicians to the theory of linear, classical, and algebraic groups. The second part is devoted to the publications by Suslin of the 1970s and early 1980s, in the areas of classical algebraic <i>K</i>-theory and the theories of linear and classical groups. In addition, we describe the general context of these works and state some of the most important results by Suslin himself, and his students, and some of the most closely related follow-ups and subsequent results.</p>\",\"PeriodicalId\":43418,\"journal\":{\"name\":\"Vestnik St Petersburg University-Mathematics\",\"volume\":\"55 1\",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2024-04-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Vestnik St Petersburg University-Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1134/s106345412401014x\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Vestnik St Petersburg University-Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s106345412401014x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0

摘要

摘要 本概览介绍了圣彼得堡数学家对线性、经典和代数群理论的贡献。第二部分专门介绍苏斯林 20 世纪 70 年代和 80 年代初在经典代数 K 理论以及线性群和经典群理论领域发表的著作。此外,我们还介绍了这些著作的一般背景,阐述了苏斯林本人及其学生的一些最重要的成果,以及一些最密切相关的后续成果和后续结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
St. Petersburg School of Linear Groups: II. Early Works by Suslin

Abstract

The present survey describes the contribution of St. Petersburg mathematicians to the theory of linear, classical, and algebraic groups. The second part is devoted to the publications by Suslin of the 1970s and early 1980s, in the areas of classical algebraic K-theory and the theories of linear and classical groups. In addition, we describe the general context of these works and state some of the most important results by Suslin himself, and his students, and some of the most closely related follow-ups and subsequent results.

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
来源期刊
CiteScore
0.70
自引率
50.00%
发文量
44
期刊介绍: Vestnik St. Petersburg University, Mathematics  is a journal that publishes original contributions in all areas of fundamental and applied mathematics. It is the prime outlet for the findings of scientists from the Faculty of Mathematics and Mechanics of St. Petersburg State University. Articles of the journal cover the major areas of fundamental and applied mathematics. The following are the main subject headings: Mathematical Analysis; Higher Algebra and Numbers Theory; Higher Geometry; Differential Equations; Mathematical Physics; Computational Mathematics and Numerical Analysis; Statistical Simulation; Theoretical Cybernetics; Game Theory; Operations Research; Theory of Probability and Mathematical Statistics, and Mathematical Problems of Mechanics and Astronomy.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信