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科学研究
The Reduced Expressions in a Coxeter System with a Strictly Complete Coxeter Graph
发布时间:2021-10-25浏览次数:

题目:The Reduced Expressions in a Coxeter System with a Strictly Complete Coxeter Graph

报告人:时俭益 教授(华东师范大学)

地点:致远楼108室

时间:2021年11月4日(星期四)下午4:00--5:00

摘要:Let $(W,S)$ be a Coxeter system with a strictly complete Coxeter graph. The present talk is concerned with the set $\Red(z)$ of all reduced expressions for any $z\in W$. By associating each bc-expression to a certain symbol, we describe the set $\Red(z)$ and compute its cardinal $|\Red(z)|$ in terms of symbols. An explicit formula for $|\Red(z)|$ is deduced, where the Fibonacci numbers play a crucial role.

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