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- W4385890346 abstract "In this paper, we study the category of modules over the Smith algebra which are free of finite rank over the unital polynomial subalgebra generated by the Cartan element $h$ and obtain families of such simple modules of arbitrary rank. In the case of rank one we obtain a full description of the isomorphism classes, a simplicity criterion, and an algorithm to produce all composition series. We show that all such modules have finite length and describe the composition factors and their multiplicity." @default.
- W4385890346 created "2023-08-17" @default.
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- W4385890346 date "2023-08-15" @default.
- W4385890346 modified "2023-09-27" @default.
- W4385890346 title "Representations of Smith algebras which are free over the Cartan subalgebra" @default.
- W4385890346 doi "https://doi.org/10.48550/arxiv.2308.07881" @default.
- W4385890346 hasPublicationYear "2023" @default.
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