{"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}
引用次数: 0
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.
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.
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