Mathematical Sciences: Homological and Computational Questions in Representation Theory

数学科学：表示论中的同调和计算问题

• 批准号: 9003103
• 负责人: Edward Green
• 金额: $ 6.86万
• 依托单位: Virginia Polytechnic Institute and State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-06-15 至 1992-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9003103&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Homological; Computational; Questions

This research is concerned with the representation theory of artin algebras. The principal investigator will study homological and computational questions related to the representation theory of finite dimensional algebras. He will continue to investigate the finitistic dimension conjecture both theoretically and with the aid of computer-generated examples. This project is concerned with the general area of ring theory. A ring is an algebraic structure having both an addition and a multiplication. These objects arise naturally and are important in many areas of mathematics and physics.

本文主要研究Artin代数的表示理论。主要研究人员将研究与有限维代数表示理论相关的同调和计算问题。他将继续从理论上并借助计算机生成的例子来研究有限维猜想。这个项目涉及到环论的一般领域。环是既有加法又有乘法的代数结构。这些物体是自然产生的，在数学和物理的许多领域都很重要。