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Whittaker Modules for the Schrödinger Algebra
Published 9 Nov 2013 in math.RT and math.RA | (1311.2118v1)
Abstract: In this paper, the property and the classification the simple Whittaker modules for the schr\"{o}dinger algebra are studied. A quasi-central element plays an important role in the study of Whittaker modules of level zero. For the Whittaker modules of nonzero level, our arguments use the Casimir element of semisimple Lie algebra $sl_2$ and the description of simple modules over conformal Galilei algebras by R. L\"{u}, V. Mazorchuk and K. Zhao.
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