Abstract

The present survey describes the contribution of St. Petersburg mathematicians to the development of the theories of linear, classical, and algebraic groups. The first part is dedicated to the prehistory of the studies in the theory of linear groups in St. Petersburg, specifically, to the pedigree of the algebra schools created by Tartakovsky and Faddeev, and to an outline of the origin of the works by Borewicz and Suslin of the mid-1970s, which initiated systematic study in the field of classical groups and algebraic K-theory in St. Petersburg.

中文翻译：

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圣彼得堡线性群理论学院。一、史前时期

摘要

本调查描述了圣彼得堡数学家对线性群、经典群和代数群理论发展的贡献。第一部分致力于圣彼得堡线性群理论研究的史前史，特别是塔尔塔科夫斯基和法捷耶夫创建的代数学派的谱系，并概述了博雷维奇和法捷耶夫著作的起源。 20世纪70年代中期的Suslin，在圣彼得堡发起了经典群和代数K理论领域的系统研究。