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

作     者：Christos A. Pallikaros 

作者机构：Department of Mathematics and Statistics University of Cyprus P.O.Box 20537 1678 Nicosia Cyprus 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2019年第26卷第1期

页      面：161-180页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Kazhdan-Lusztig cell Specht filtration induction and restriction pair of partitions 

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[g^1/2, q^-1/2], where q is an indeterminate) using C-bases for these modules. Moreover, we provide a link bet ween a certain C-basis for the induced Specht module and the notion of pairs of partitions.