共 13 条
- [11] Lehrer GI, 2017, ENSEIGN MATH, V63, P181, DOI 10.4171/LEM/63-1/2-6
- [12] Nebhani A, 2014, J RAMANUJAN MATH SOC, V29, P273
- [13] Purdon M.P., 1991, Potts models and related problems in statistical mechanics, V5
Jellyfish Partition Categories
被引：9
作者：
Comes, Jonathan
[1
]
机构：
[1] 808 W Lemp St, Boise, ID 83702 USA
关键词：
Jellyfish partition category;
Partition algebra;
Alternating group;
Representation theory;
BRAUER;
ALGEBRAS;
D O I：
10.1007/s10468-018-09851-7
中图分类号：
O1 [数学];
学科分类号：
0701 ;
070101 ;
摘要：
For each positive integer n, we introduce a monoidal category JP( n) using a generalization of partition diagrams. When the characteristic of the ground field is either 0 or at least n, we show JP(n) is monoidally equivalent to the full subcategory of Rep(A(n)) whose objects are tensor powers of the natural n-dimensional permutation representation of the alternating group A(n).
引用
收藏
页码：327 / 347
页数：21
相关论文