Jellyfish Partition Categories

被引：9

作者：

Comes, Jonathan ^{[1
]}

机构：

[1] 808 W Lemp St, Boise, ID 83702 USA

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2020年 / 23卷 / 02期

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

页码：327 / 347

页数：21

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