Structure of some Z-graded Lie superalgebras of vector fields

被引：39

作者：

Cheng, SJ ^{[1
]}

Kac, V

机构：

[1] Natl Cheng Kung Univ, Dept Math, Tainan 70101, Taiwan

[2] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

TRANSFORMATION GROUPS | 1999年 / 4卷 / 2-3期

关键词：

D O I：

10.1007/BF01237358

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we classify Z-graded transitive Lie superalgebras with prescribed nonpositive parts listed in [K2]. The classification of infinite-dimensional simple linearly compact Lie superalgebras given in [K2] is based on this result. We also study the structure of the exceptional Z-graded transitive Lie superalgebras and give their geometric realization.

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页码：219 / 272

页数：54

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