ON THE VIRASORO ALGEBRA AS REDUCED POISSON SUBMANIFOLD OF A KAC-MOODY ALGEBRA ON THE CIRCLE

被引：2

作者：

BEFFA, GM ^{[1
]}

机构：

[1] UNIV CALIF DAVIS,DEPT MATH,DAVIS,CA 95616

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 122卷 / 03期

关键词：

D O I：

10.2307/2160765

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we show how the Lie-Poisson structure on the dual of the Virasoro algebra can be obtained through a standard Poisson reduction process performed on a Kac-Moody algebra on the circle. We use the geometrical idea of the process to establish some relation between transverse structures on both Poisson manifolds.

引用

页码：859 / 869

页数：11

共 16 条

[1]

ADLER M, 1979, INVENT MATH, V50, P219

[2]

Antonowicz M, 1990, HAMILTONIAN STRUCTUR

[3]

BEFFA GM, 1991, TRANSVERSE STRUCTURE

[4] DRINFELD-SOKOLOV REDUCTION ON A SIMPLE LIE-ALGEBRA FROM THE BIHAMILTONIAN POINT-OF-VIEW [J].