Mathematical Sciences: NSF/CBMS Regional Conference in the Mathematical Sciences on 'The Polynomial Identities and Invariants of n x n matrices,' July 16-20, 1990, Chicago, IL

该项目是CBMS数学科学区域会议，题为“n × n矩阵的多项式恒等式和不变量”。这次会议将于1990年7月16日至20日在芝加哥德保罗大学林肯公园校区举行。自1948年Kaplansky提出满足多项式恒等式的原始环必须是其中心上有限维的简单代数以来，多项式恒等式的研究在非交换环理论中引起了极大的兴趣。在七十年代和八十年代初，由formek、Procesi、Regev和其他人所做的工作建立了多项式恒等式理论、表示理论、不变理论和组合学之间的联系。最近，Kemer对Specht问题的解决方案激发了人们对该领域的浓厚兴趣。福曼尼克教授的一系列讲座将面向不同的听众，旨在为参与者提供有关这些领域最新进展的信息和见解。

This project is a CBMS Regional Conference in the Mathematical Sciences entitled "The Polynomial Identities and Invariants of n x n Matrices". This conference will be held July 16-20, 1990 at DePaul University's Lincoln Park campus in Chicago. The study of polynomial identities has been of great interest in non-commutative ring theory since Kaplansky's result in 1948 that a primitive ring satisfying a polynomial identity must be a simple algebra of finite dimension over its center. Work in the seventies and early eighties by Formanek, Procesi, Regev, and others established connections between the theory of polynomial identities, representation theory, invariant theory, and combinatorics. There is presently much interest in the area, recently spurred by Kemer's solution to the Specht problem. A series of ten talks by Professor Formanek will be geared to a diverse audience, and meant to provide participants with information and insights into the recent advances in these areas.