Article ID Journal Published Year Pages File Type
6416755 Linear Algebra and its Applications 2013 5 Pages PDF
Abstract

Let V be a simple weight module for the Schrödinger algebra S(1) but not a simple sl2-module. Let ω∈supp(V). If V is neither a highest weight module nor a lowest weight module for S(1), we prove that supp(V)=ω+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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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