Hopf algebra structures on weak compositions and signed permutations

发布日期:2020-06-28点击数:

报告人喻厚义(西南大学)

日期2020年7月1日

时间10:00-11:00

腾讯会议号:887 825 080(无密码)
https://meeting.tencent.com/s/ny9oBSs927xh


报告摘要:Motivated by a question of Rota relating symmetric functions to Rota‐Baxter algebras, quasi‐symmetric functions parameterized by compositions were generalized to those parameterized by weak compositions, yielding the Hopf algebra of weak quasi‐symmetric functions.  We then lift this Hopf algebra to a Hopf algebra from signed permutations which naturally contains the Malvenuto‐Reutenauer Hopf algebra from permutations as a Hopf subalgebra. Furthermore, we obtain a commutative diagram of these Hopf algebras revealing a relationship among compositions, weak compositions, permutations and signed permutations. This is joint work with Li Guo and Jean‐Yves Thibon.


告人简介:喻厚义,西南大学太阳成集团tyc539副教授。博士毕业于上海交通大学,在美国纽约大学访学一年。研究方向为代数组合,在Adv. Math., Ramanujan J., Electron. J. Combin., Semigroup Forum 等学术刊物上发表SCI论文10余篇,主持国家自然科学基金和重庆市自然科学基金各2项。


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太阳成集团tyc539的前身是始建于1929年的太阳成集团理学院和1937年建立的太阳成集团商学院,理学院是太阳成集团最早设立的三个学院之一,首任经理为数学家何鲁先生。