Construction of simple non-weight -modules of arbitrary rank

详细信息    查看全文

• 作者：F.J. Plaza Martí ; n¹ ; ^{fplaza@usal.es} ; C. Tejero Prieto ; ¹ ; ^{carlost@usal.es}
• 关键词：primary ; 17B68 ; secondary ; 81R10
• 刊名：Journal of Algebra
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：472
• 期：Complete
• 页码：172-194
• 全文大小：447 K
• 卷排序：472

文摘

We study simple non-weight sl(2)sl(2)-modules which are finitely generated as C[z]C[z]-modules. We show that they are described in terms of semilinear endomorphisms and prove that the Smith type induces a stratification on the set of these sl(2)sl(2)-modules, providing thus new invariants. Moreover, we show that there is a notion of duality for these type of sl(2)sl(2)-modules. Finally, we show that there are simple non-weight sl(2)sl(2)-modules of arbitrary rank by constructing a whole new family of them.