Lascoux-Leclerc-Thibon算法和分次表示论的解释
An interpretation of the Lascoux-Leclerc-Thibon algorithm and graded representation theory
摘要:
利用分次Specht模计算了域上单位根处特征为零的对称群的Iwahori-Hecke代数的分次分解数.该算法是伪装的Lascoux-Leclerc-Thibon算法。因此,我们解释的分级表示论的算法。
英文摘要:
We use graded Specht modules to calculate the graded decomposition numbers for the Iwahori-Hecke algebra of the symmetric group over a field of characteristic zero at a root of unity. The algorithm arrived at is the Lascoux-Leclerc-Thibon algorithm in disguise. Thus we interpret the algorithm in terms of graded representation theory.
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