An Algebraic Approach to Association Schemes

An Algebraic Approach to Association Schemes
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DOI:
10.1007/bfb0097032
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发表时间:
1996-08
期刊:
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影响因子:
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通讯作者:
P. Zieschang
P. Zieschang
中科院分区:
其他
文献类型:
--
作者:
P. Zieschang

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课堂讲稿的主要目的是发展一种类似于有限群理论中已取得如此成功的结合方案的处理方法。主要章节有分解理论、表示理论和生成元理论。当发电机理论发展时,这些建筑就开始发挥作用了。在这里,建筑物扮演的角色,在群论中,是由科克塞特群扮演的。-这篇课文是为代数,特别是代数组合学的学生和研究人员编写的。
The primary object of the lecture notes is to develop a treatment of association schemes analogous to that which has been so successful in the theory of finite groups. The main chapters are decomposition theory, representation theory, and the theory of generators. Tits buildings come into play when the theory of generators is developed. Here, the buildings play the role which, in group theory, is played by the Coxeter groups.-The text is intended for students as well as for researchers in algebra, in particular in algebraic combinatorics.