WHITTAKER MODULES FOR THE VIRASORO ALGEBRA

被引：88
|
作者：
Ondrus, Matthew [1 ]
Wiesner, Emilie [2 ]
机构：
[1] Weber State Univ, Dept Math, Ogden, UT 84408 USA
[2] Ithaca Coll, Dept Math, Ithaca, NY 14850 USA
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2009年 / 8卷 / 03期
关键词：
Virasoro algebra; Whittaker modules; representations; simple modules; central characters; IRREDUCIBLE REPRESENTATIONS; SL(2);
D O I：
10.1142/S0219498809003370
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Whittaker modules have been well studied in the setting of complex semisimple Lie algebras. Their definition can easily be generalized to certain other Lie algebras with triangular decomposition, including the Virasoro algebra. We define Whittaker modules for the Virasoro algebra and obtain analogues to several results from the classical setting, including a classification of simple Whittaker modules by central characters and composition series for general Whittaker modules.
引用
收藏
页码：363 / 377
页数：15
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