DIAGRAM ALGEBRAS, DOMINANCE TRIANGULARITY AND SKEW CELL MODULES

被引：4

作者：

Bowman, Christopher ^{[1
]}

Enyang, John ^{[2
]}

Goodman, Frederick ^{[3
]}

机构：

[1] Univ Kent, Sch Math Stat & Actuarial Sci, Canterbury CT2 7FS, Kent, England

[2] City Univ London, Dept Math, London, England

[3] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2018年 / 104卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

cellular algebras; diagram algebras; REPRESENTATIONS;

D O I：

10.1017/S1446788717000179

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present an abstract framework for the axiomatic study of diagram algebras. Algebras that fit this framework possess analogues of both the Murphy and seminormal bases of the Hecke algebras of the symmetric groups. We show that the transition matrix between these bases is dominance unitriangular. We construct analogues of the skew Specht modules in this setting. This allows us to propose a natural tableaux theoretic framework in which to study the infamous Kronecker problem.

引用

页码：13 / 36

页数：24

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