@article{6ff73df97b15432bb69e7c68dde54d06,
title = "Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras",
abstract = "We prove that the tensor product of a simple and a finite dimensional sln-module has finite type socle. This is applied to reduce classification of simple q(n) -supermodules to that of simple sln-modules. Rough structure of simple q(n) -supermodules, considered as sln-modules, is described in terms of the combinatorics of category O.",
keywords = "Lie algebra, Lie superalgebra, Rough structure, Simple module, Simple supermodule, Socle, Tensor product",
author = "Chen, {Chih Whi} and Kevin Coulembier and Volodymyr Mazorchuk",
note = "Publisher Copyright: {\textcopyright} 2020, The Author(s).",
year = "2021",
month = feb,
doi = "10.1007/s00209-020-02510-y",
language = "???core.languages.en_GB???",
volume = "297",
pages = "255--281",
journal = "Mathematische Zeitschrift",
issn = "0025-5874",
number = "1-2",
}