Commutative and non-commutative structures in algebraic combinatorics

代数组合中的交换和非交换结构

• 批准号: 261951-2007
• 负责人: Zabrocki, Michael
• 金额: $ 1.09万
• 依托单位: York University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2008
• 资助国家: 加拿大
• 起止时间: 2008-01-01 至 2009-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=395302
• 关键词: Commutative; non; commutative; structures; algebraic

Classical results relating the action of subgroups of matricies on the ring of polynomials have been used to develop a classical theory of invariants and coinvariants. Inspired by these results, we considered [1] the permutation action on the space of non-commutative polynomials and have begun to develop a theory of non-commutative invariants and coinvariants.

关于矩阵子群在多项式环上作用的经典结果已被用来发展不变量和协不变量的经典理论。受这些结果的启发，我们考虑了非交换多项式空间上的置换作用[1]，并开始发展了非交换不变量和协不变量理论。