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arXiv:1309.1346 [math.RT]AbstractReferencesReviewsResources

Classification of simple weight modules with finite-dimensional weight spaces over the Schrödinger algebra

Brendan Dubsky

Published 2013-09-05Version 1

We classify simple weight modules with finite-dimensional weight spaces over the (centrally extended complex) Schr\"odinger algebra in (1+1)-dimensional space-time. Our arguments use the description of lowest weight modules by Dobrev, Doebner and Mrugalla; Mathieu's twisting functors and results of Wu and Zhu on dimensions of weight spaces in dense modules.

Comments: 17 pages
Categories: math.RT
Subjects: 17B10, 17B81
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