Finite-dimensional vertex algebra modules over fixed point commutative subalgebras

被引：0

作者：

Tanabe, Kenichiro ^{[1
]}

机构：

[1] Hokkaido Univ, Dept Math, Kita Ku, Sapporo, Hokkaido 0600810, Japan

来源：

JOURNAL OF ALGEBRA | 2011年 / 337卷 / 01期

关键词：

Vertex algebra; Galois extension; Commutative algebra; OPERATOR ALGEBRA; IRREDUCIBLE MODULES; REPRESENTATIONS; CLASSIFICATION; AUTOMORPHISM; M(1)(+); V-L(+); RANK;

D O I：

10.1016/j.jalgebra.2011.04.024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a connected commutative C-algebra with derivation D. G a finite linear automorphism group of A which preserves D, and R = A(G) the fixed point subalgebra of A under the action of G. We show that if A is generated by a single element as an R-algebra and is a Galois extension over R in the sense of M. Auslander and O. Goldman, then every finite-dimensional indecomposable vertex algebra R-module has a structure of twisted vertex algebra A-module. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：323 / 334

页数：12

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