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

被引：36

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.

引用

页码：1 / 65

页数：65

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