d维环面微分同胚李代数模的部分分类
表示论
2009-11-10 v2
摘要
我们考虑d维环面微分同胚群的李代数，它也被知为d个交换变量上Laurent多项式环A的导子代数，记为DerA。Larsson基于gl_d模（其同时也是A模）构造了DerA模的一大类。本文证明任何具有有限维权空间的不可约(A, DerA)模必来自Larsson的构造。
引用
@article{arxiv.math/0312024,
title = {Partial classification of modules for Lie-algebra of diffeomorphisms of d-dimensional torus},
author = {S. Eswara Rao},
journal= {arXiv preprint arXiv:math/0312024},
year = {2009}
}
备注
The introduction has been rewritten and the connection to physics has been explained. Sevaral references related to physics has been added. Proof of Proposition (3.4) has been rewritten as there is a technical problem in the earlier version. Accepted in Journal of Mathematical Physics