Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416755 | Linear Algebra and its Applications | 2013 | 5 Pages |
Abstract
Let V be a simple weight module for the Schrödinger algebra S(1) but not a simple sl2-module. Let Ïâsupp(V). If V is neither a highest weight module nor a lowest weight module for S(1), we prove that supp(V)=Ï+Z and all non-trivial weight spaces of V have the same dimensions. Finally, we construct an example of a simple S(1)-module with infinite-dimensional weight spaces.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yuezhu Wu, Linsheng Zhu,