Representations of Code Vertex Operator Superalgebras

被引：0

作者：

Jiang, Wei ^{[1
]}

机构：

[1] Changshu Inst Technol, Dept Math, Changshu 215500, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 2015年 / 22卷 / 02期

关键词：

vertex operator algebra; irreducible module; induced module; code vertex operator superalgebra; Hamming code; TWISTED REPRESENTATIONS; ALGEBRAS;

D O I：

10.1142/S1005386715000218

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the representations of code vertex operator superalgebras resulting from a binary linear code which contains codewords of odd weight. We also show that there exists only one set of seven mutually orthogonal conformal vectors with central charge 1/2 in the Hamming code vertex operator superalgebra (M) over cap (H7). Furthermore, we classify all the irreducible weak (M) over cap (H7)-modules.

引用

页码：233 / 250

页数：18

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