Representation theory of Neveu-Schwarz and Ramond algebras I: Verma modules

被引：35
|
作者：
Iohara, K [1 ]
Koga, Y
机构：
[1] Kobe Univ, Fac Sci, Dept Math, Kobe, Hyogo 6578501, Japan
[2] Sophia Univ, Dept Math, Tokyo 1028554, Japan
来源：
ADVANCES IN MATHEMATICS | 2003年 / 178卷 / 01期
关键词：
Neveu-Schwarz and Ramond algebras; Verma modules; Jantzen filtration;
D O I：
10.1016/S0001-8708(02)00059-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we study the structure of Verma modules of N = 1 super Virasoro algebras. As applications, we construct Bernstein-Gel'fand Gel'fand type resolutions. This article is the detailed and expanded version of Iohara and Koga (C. R. Acad. Sci. Paris Ser. 1 328 (1999) 381). (C) 2003 Elsevier Science (USA). All rights reserved.
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页码：1 / 65
页数：65
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