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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。
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.
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.