Geodesic
Classification of Simple Weight Modules over the Schrödinger Algebra
Canadian mathematical bulletin, Tome 61 (2018) no. 1, pp. 16-39

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A classification of simple weight modules over the Schrödinger algebra is given. The Krull and the global dimensions are found for the centralizer ${{C}_{S}}(H)$ (and some of its prime factor algebras) of the Cartan element $H$ in the universal enveloping algebra $S$ of the Schrödinger (Lie) algebra. The simple ${{C}_{S}}(H)$ -modules are classified. The Krull and the global dimensions are found for some (prime) factor algebras of the algebra $S$ (over the centre). It is proved that some (prime) factor algebras of $S$ and ${{C}_{S}}(H)$ are tensor homological $/$ Krull minimal.
DOI : 10.4153/CMB-2017-017-7
Mots-clés : 17B10, 17B20, 17B35, 16E10, 16P90, 16P40, 16P50, weight module, simple module, centralizer, Krull dimension, global dimension, tensor homological minimal algebra, tensor Krull minimal algebra 
Bavula, V. V.; Lu, T. Classification of Simple Weight Modules over the Schrödinger Algebra. Canadian mathematical bulletin, Tome 61 (2018) no. 1, pp. 16-39. doi: 10.4153/CMB-2017-017-7
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     author = {Bavula, V. V. and Lu, T.},
     title = {Classification of {Simple} {Weight} {Modules} over the {Schr\"odinger} {Algebra}},
     journal = {Canadian mathematical bulletin},
     pages = {16--39},
     year = {2018},
     volume = {61},
     number = {1},
     doi = {10.4153/CMB-2017-017-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-017-7/}
}
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