Classification of quasifinite\mathcal{W}_\infty -modules-modules |
| |
Authors: | Yucai Su Bin Xin |
| |
Institution: | (1) Department of Mathematics, Shanghai Jiaotong University, 200240 Shanghai, China |
| |
Abstract: | It is proved that an irreducible quasifinite
-module is a highest or lowest weight module or a module of the intermediate series; a uniformly bounded indecomposable weight
-module is a module of the intermediate series. For a nondegenerate additive subgroup Λ ofF
n, whereF is a field of characteristic zero, there is a simple Lie or associative algebraW(Λ,n)(1) spanned by differential operatorsuD
1
m
…D
1
m
foru ∈FΓ] (the group algebra), andm
i≥0 with
, whereD
i are degree operators. It is also proved that an indecomposable quasifinite weightW(Λ,n)(1)-module is a module of the intermediate series if Λ is not isomorphic to ℤ.
Supported by NSF grant no. 10471091 of China and two grants “Excellent Young Teacher Program” and “Trans-Century Training
Programme Foundation for the Talents” from the Ministry of Education of China. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|