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@article{faucris.108988484,
abstract = {Motivated by the theory of unitary representations of finite dimensional Lie supergroups, we describe those Lie superalgebras which have a faithful finite dimensional unitary representation. We call these Lie superalgebras unitary. This is achieved by describing the classification of real finite dimensional compact simple Lie superalgebras, and analyzing, in a rather elementary and direct way, the decomposition of reductive Lie superalgebras (g$\mathfrak{g}$ is a semisimple ${\mathfrak{g}}_{\overline{0}}$-module) over fields of characteristic zero into ideals.},
author = {Azam, Saeid and Neeb, Karl-Hermann},
doi = {10.1016/j.jpaa.2015.02.024},
faupublication = {yes},
journal = {Journal of Pure and Applied Algebra},
pages = {4422 - 4440},
peerreviewed = {Yes},
title = {{Finite} dimensional compact and unitary {Lie} superalgebras},
url = {http://www.sciencedirect.com/science/article/pii/S0022404915000511},
volume = {219},
year = {2015}
}