Factorization problems in the symmetric group

对称群中的因式分解问题

• 批准号: 341798-2008
• 负责人: Irving, John
• 金额: $ 0.58万
• 依托单位: Saint Mary's 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=399615
• 关键词: Factorization; problems; symmetric; group

The primary focus of this project is the general problem of decomposing (or factoring) a permutation into a product of others. Permutation factorizations arise in many interesting and diverse contexts; for instance, they are intimately connected with the representation theory of the symmetric group, combinatorial topology (viz. embeddings of graphs on surfaces), singularity theory, algebraic geometry, and physics.

该项目的主要焦点是将排列分解（或分解）为其他排列的乘积的一般问题。 置换因子分解出现在许多有趣和不同的背景下;例如，它们与对称群的表示理论、组合拓扑（即图在曲面上的嵌入）、奇点理论、代数几何和物理学密切相关。