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We classify simple weight modules with finite-dimensional weight spaces over the (centrally extended complex) Schr\"odinger algebra in (1+1)-dimensional space-time.
N. Jacobson, Lie algebras , Dover Books on Mathematics Series, Dover Publications, Incorporated, 1979. URL http://books.google.se/books?id=hPE1Mmm7SFMC
1979
Earlier work this paper cites.
V. Dobrev, H.-D. Doebner, C. Mrugalla, Lowest weight representations of the schrödinger algebra and generalized heat/schrödinger equations, Reports on Mathematical Physics 39 (1997) 201–218
1997
Earlier work this paper cites.
O. Mathieu, Classification of irreducible weight modules, Annales de l’institut Fourier 50 (2000) 537–592
2000
Cited alongside, same era.
V. Mazorchuk, Lectures on 𝔰 𝔩 2 \mathfrak{sl}_{2} -modules, Imperial College, 2010
2010
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Y. Wu, L. Zhu, Simple weight modules for schrödinger algebra, Linear Algebra and its Applications 438 (2013) 559–563
2013
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