location:  Publications → journals
Search results

Search: MSC category 16P90 ( Growth rate, Gelfand-Kirillov dimension )

 Expand all        Collapse all Results 1 - 1 of 1

1. CMB Online first

Bavula, V. V.; Lu, T.
 Classification of simple weight modules over the SchrÃ¶dinger algebra A classification of simple weight modules over the SchrÃ¶dinger algebra is given. The Krull and the global dimensions are found for the centralizer $C_{\mathcal{S}}(H)$ (and some of its prime factor algebras) of the Cartan element $H$ in the universal enveloping algebra $\mathcal{S}$ of the SchrÃ¶dinger (Lie) algebra. The simple $C_{\mathcal{S}}(H)$-modules are classified. The Krull and the global dimensions are found for some (prime) factor algebras of the algebra $\mathcal{S}$ (over the centre). It is proved that some (prime) factor algebras of $\mathcal{S}$ and $C_{\mathcal{S}}(H)$ are tensor homological/Krull minimal. Keywords:weight module, simple module, centralizer, Krull dimension, global dimension, tensor homological minimal algebra, tensor Krull minimal algebraCategories:17B10, 17B20, 17B35, 16E10, 16P90, 16P40, 16P50
 top of page | contact us | privacy | site map |