Graded representations of Hecke algebras

Hecke 代数的分级表示

• 批准号: DP110100050
• 负责人: Prof Andrew Mathas
• 金额: $ 28.73万
• 依托单位: The University of Sydney
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2011
• 资助国家: 澳大利亚
• 起止时间: 2011-03-14 至 2014-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP110100050
• 关键词: Graded; representations; Hecke; algebras

This project makes fundamental contributions to the representation theory of Hecke algebras with applications to quantum groups, knot theory, Lie groups and topological quantum field theory. Building on exciting developments we will produce new gradings and then use them to tackle difficult questions in the representation theory of these algebras.

这个项目作出了根本性的贡献表示理论的赫克代数与应用量子群，结理论，李群和拓扑量子场论。建立在令人兴奋的发展，我们将产生新的分级，然后用它们来解决这些代数的表示理论中的难题。