Rationality, regularity, and C2-cofiniteness

被引：126

作者：

Abe, T

Buhl, G

Dong, CY

机构：

[1] Osaka Univ, Grad Sch Sci, Dept Math, Osaka 5600043, Japan

[2] Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 356卷 / 08期

关键词：

D O I：

10.1090/S0002-9947-03-03413-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We demonstrate that, for vertex operator algebras of CFT type, C-2-cofiniteness and rationality is equivalent to regularity. For C-2-cofinite vertex operator algebras, we show that irreducible weak modules are ordinary modules and C-2-cofinite, V-L(+) L is C-2-cofinite, and the fusion rules are finite.

引用

收藏

页码：3391 / 3402

页数：12

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