Schensted-Type Correspondences and Plactic Monoids for Types Bn and Dn

被引：0

作者：

Cedric Lecouvey

机构：

[1] Université De Caen,Departemente De Mathematiques

来源：

Journal of Algebraic Combinatorics | 2003年 / 18卷

关键词：

combinatorics; quantum algebra; representation theory;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We use Kashiwara's theory of crystal bases to study plactic monoids for Uq(so2n+1) and Uq(so2n). Simultaneously we describe a Schensted type correspondence in the crystal graphs of tensor powers of vector and spin representations and we derive a Jeu de Taquin for type B from the Sheats sliding algorithm.

引用

页码：99 / 133

页数：34

共 27 条

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