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澳大利亚悉尼大学数学系Bob Howllet教授校级学术报告
澳大利亚悉尼大学数学系Bob Howllet教授校级学术报告
2018-01-01 12:13  华东师范大学

校级学术报告(曹锡华代数论坛)
报告人: Bob Howllet教授(澳大利亚悉尼大学数学系)
题 目: Coxeter 群的自同构
时 间: 2007.1.18(周四)下午3:00-4:00
地 点: 理科大楼A1414教室

摘 要:
A Coxeter group is a group generated by a set S subject to defining relations of the form: s^2 = 1 for all s in S, and (st)^{m_{st}} = 1 for some or all pairs s, t in S. Remarkably, every Coxeter group can be faithfully represented as a group of linear transformations on a real vector space. In studying automorphisms of Coxeter groups -- or, more generally, the isomorphisms between Coxeter groups -- the challenge is to use group-theoretic data to characterize the group geometrically. This talk will describe progress on this, as yet unfinished, project.