On C-Bases, Partition Pairs and Filtrations for Induced or Restricted Specht Modules

• 来源期刊: 代数集刊（英文版）
• 关键词: Kazhdan-Lusztig cell Specht filtration induction and restriction pair of partitions
• 年，卷（期）: 2019,（1）
• 页码范围: 161-180
• 页数: 20页
• 语种: 英文
• DOI: 10.1142/S1005386719000154

摘要

We obtain alternative explicit Specht filtrations for the induced and the restricted Specht modules in the Hecke algebra of the symmetric group (defined over the ring A =Z[q1/2,q-1/2],where q is an indeterminate) using C-bases for these modules.Moreover,we provide a link between a certain C-basis for the induced Specht module and the notion of pairs of partitions.