Virasoro代数的一类一致有界模

A CLASS OF UNIFORMLY BOUNDED MODULES OVER THE VIRASORO ALGEBRA

给出了Virasoro代数的一类一致有界不可分解权模的分类,即分类了这样的不可分解模,其合成因子或者都是中间模A_(0,0)的合成因子,或者都同构于中间模A_(a,b)(其中a(?)Z或b≠0,1)．

Abstract In this paper, a class of uniformly bounded indecomposable weight modules over the Virasoro algebra is classified. To be precise, we classify all uniformly bounded indecomposable weight modules whose composition factors are either the composition factor of the module A0,0 of the intermediate series, or isomorphic to the module Aa,b of the intermediate series for some a ￠Z, b ≠ 0. 1.