Título
Construction of simple non-weight sl(2)-modules of arbitrary rank
Autor(es)
Palabras clave
sl(2)-representations
Simple modules
Non-weight modules
Fecha de publicación
2017
Editor
ELSEVIER
Citación
F.J. Plaza Martín, C. Tejero Prieto, Construction of simple non-weight sl(2)-modules of arbitrary rank, Journal of Algebra, Volume 472, 2017, Pages 172-194, ISSN 0021-8693, https://doi.org/10.1016/j.jalgebra.2016.10.012. (https://www.sciencedirect.com/science/article/pii/S0021869316303714)
Resumen
[EN]We study simple non-weight sl(2)-modules which are finitely
generated as 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)-modules,
providing thus new invariants. Moreover, we show that there
is a notion of duality for these type of sl(2)-modules. Finally,
we show that there are simple non-weight sl(2)-modules of
arbitrary rank by constructing a whole new family of them.
URI
ISSN
0021-8693
DOI
10.1016/j.jalgebra.2016.10.012
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