Cones, crystals, and patterns

被引:66
|
作者
Littelmann P. [1 ]
机构
[1] Université Louis Pasteur, Institut Universitaire de France, Inst. de Rech. Math. Avancée, 67084 Strasbourg Cedex, 7, rue René Descartes
关键词
Representation Theory; Topological Group; Algebraic Group; Path Model; Young Tableau;
D O I
10.1007/BF01236431
中图分类号
学科分类号
摘要
There are two well known combinatorial tools in the representation theory of S Ln, the semi-standard Young tableaux and the Gelfand-Tsetlin patterns. Using the path model and the theory of crystals, we generalize the concept of patterns to arbitrary complex semi-simple algebraic groups.
引用
收藏
页码:145 / 179
页数:34
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