Mathematical Sciences: Combinatorics: Partially Ordered Sets, Permutations, and Representation Theory

数学科学：组合学：偏序集、排列和表示论

• 批准号: 9005666
• 负责人: Curtis Greene
• 金额: $ 7.01万
• 依托单位: Haverford College
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-06-01 至 1992-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9005666&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Combinatorics; Partially; Ordered

This award supports the research in algebraic combinatorics of Professor Curtis Greene of Haverford College. Dr. Greene's project is to continue his work in a number of areas related to partially ordered sets, tableaux, and representations of the symmetric group. This research falls in the broad category of combinatorics, which is one of the most active fields in today's mathematics. Fundamentally, combinatorics represents a systematization of the very first of all mathematical activities, counting. In its modern development, however, combinatorics has gone beyond just counting to make use of a wide variety of advanced mathematical techniques, and although its roots go back several centuries, the field has had an explosive development in the past few decades because of its importance in communications and information technology.

该奖项支持哈弗福德学院柯蒂斯·格林教授在代数组合学方面的研究。格林博士的项目是继续他在部分有序集合、场景和对称群表示相关领域的工作。这项研究属于组合学的广泛范畴，这是当今数学中最活跃的领域之一。从根本上说，组合学代表了对所有数学活动——计数——的系统化。然而，在其现代发展中，组合学已经不仅仅是计算，而是利用了各种各样的先进数学技术。尽管它的根源可以追溯到几个世纪以前，但由于它在通信和信息技术中的重要性，该领域在过去的几十年里有了爆炸性的发展。