Algebras with action and coaction of Hopf algebras

具有 Hopf 代数作用和相互作用的代数

• 批准号: 341792-2007
• 负责人: Kotchetov, Mikhail
• 金额: $ 0.8万
• 依托单位: Memorial University of Newfoundland
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2011
• 资助国家: 加拿大
• 起止时间: 2011-01-01 至 2012-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=482291
• 关键词: Algebras; action; coaction; Hopf; algebras

My area of interest is the theory of Hopf agebras and its connections to noncommutative ring theory and Lie theory. Hopf algebras arise in many areas of mathematics and theoretical physics (knot and braid theory, operator algebras, quantum theory, statistical mechanics - to name a few) and provide a new unified approach to many classical problems in algebra. There have been impressive recent advances in this field.

我感兴趣的领域是理论的霍普夫代数及其连接到非交换环理论和李理论。霍普夫代数出现在数学和理论物理的许多领域（纽结和编织理论，算子代数，量子理论，统计力学-仅举几例），并为代数中的许多经典问题提供了一种新的统一方法。最近在这一领域取得了令人印象深刻的进展。