文献类型：期刊文献

英文题名：Branching rules for cell modules on a tower of the partition algebras

作者：Wang, Pei[1]

机构：[1] Teachers’ College, Beijing Union University, Beijing, 100101, China

第一机构：北京联合大学师范学院

年份：2019

外文期刊名：arXiv

收录：EI(收录号：20200168850)

语种：英文

外文关键词：Towers

摘要：Partition algebras with non-zero parameters are cellularly stratified and thus have the features of both cellular algebras and stratified algebras. Also, partition algebras form a tower of algebras. In this paper, we provide a diagrammatic approach to study the branching rules for cell modules on a tower of the partition algebras. This also allows us to calculate the structure constants of the Grothendieck ring of the tower. Copyright ? 2019, The Authors. All rights reserved.