距离正则图和量子仿射代数Uq（bsl2）][Distance-regular graphs and the quantum affine algebra Uq(bsl2)]

距离正则图和量子仿射代数Uq（bsl2） Distance-regular graphs and the quantum affine algebra Uq(bsl2)


课程网址:	http://videolectures.net/sicgt07_terwilliger_drg/
主讲教师:	Paul Terwilliger
开课单位:	威斯康星大学
开课时间:	2007-09-07
课程语种:	英语
中文简介:	组合对象（如图形）通常可用于构造抽象代数的表示。在本次演讲中，我们将考虑具有高度规律性的图形，称为距离规律性。对于该图，我们定义了由邻接矩阵和某个对角矩阵生成的代数。在这个代数中存在一组元素，在一个小的假设下，满足一些有吸引力的关系。利用这些关系，我们得到量子仿射sl2代数的表示。
课程简介:	Combinatorial objects, such as graphs, can often be used to construct representations of abstract algebras. In this talk we will consider a graph possessing a high degree of regularity, known as a distance-regularity. For this graph we define an algebra generated by the adjacency matrix and a certain diagonal matrix. There exists a set of elements in this algebra that, under a minor assumption, satisfy some attractive relations. Using these relations we obtain a representation of the quantum affine sl2 algebra.
关键词:	组合对象; 抽象代数; 邻接矩阵
课程来源:	视频讲座网
最后编审:	2020-07-14：yumf
阅读次数:	80

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