The Representation of Terwilliger algebra and its Application

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Title: The Representation of Terwilliger algebra and its Application

Speaker: Suogang Gao (Hebei Normal University)

Time: 4:00-6:00pm, 11-2 Friday

Venue: 200-9, Sir Run-Run Shaw Business BUilding, Yuquan Campus

Abstract: The Leonard pair and the Leonard triple are the main objects of the representation ofthe Terwilliger algebra. In this talk we first introduce the Leonard pair, the Leonard triple and their classifications. Then we give some constructions of Leonard pairs and Leonard triples using Lie algebras and quantum algebra. Finally, we give the application of the representation of Terwilligeralgebra to the Grassmann graph.

报告人简介：高锁刚，河北师范大学数学与信息科学学院教授，博士生导师，美国德州大学达拉斯分校、日本国际基督教大学访问学者, 《Discrete Mathematics, Algorithms and Applications》编委。研究工作涉及典型群、代数组合论、组合优化等领域。主持两项国家自然科学基金，一项教育部博士点基金。作为第一完成人，其研究成果获河北省自然科学奖二等奖一次，三等奖一次。

联系人：冯涛（tfeng@zju.edu.cn）

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The Representation of Terwilliger algebra and its Application