论文标题
C型中的符号键和原子原子
Symplectic keys and Demazure atoms in type C
论文作者
论文摘要
我们计算，模仿lascoux-SchützenbergerA型组合程序，左右键在C型中使用Kashiwara-Nakashima Tableau。这些符号键与Semistandard Young Tableaux的键相似。更确切地说，我们的符号键给出了高度二十字体组和coset上的bruhat顺序的图表标准，并描述了C类的原子和特征。 CSchützenberger类型的疏散定义为意识到这一参与。
We compute, mimicking the Lascoux-Schützenberger type A combinatorial procedure, left and right keys for a Kashiwara-Nakashima tableau in type C. These symplectic keys have a similar role as the keys for semistandard Young tableaux. More precisely, our symplectic keys give a tableau criterion for the Bruhat order on the hyperoctahedral group and cosets, and describe Demazure atoms and characters in type C. The right and the left symplectic keys are related through the Lusztig involution. A type C Schützenberger evacuation is defined to realize that involution.
