Representations of the Yangian of a~Lie superalgebra of type~$A(m,n)$
Izvestiya. Mathematics , Tome 77 (2013) no. 5, pp. 1021-1043
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We describe the finite-dimensional irreducible representations of the Yangian
of a Lie superalgebra of type $A(m,n)$. We formulate and prove a criterion
for an irreducible representation to be finite-dimensional.
Keywords:
Yangian of a Lie superalgebra, irreducible representation
Mots-clés : Drinfel'd polynomial, simple module.
Mots-clés : Drinfel'd polynomial, simple module.
@article{IM2_2013_77_5_a5,
author = {V. A. Stukopin},
title = {Representations of the {Yangian} of {a~Lie} superalgebra of type~$A(m,n)$},
journal = {Izvestiya. Mathematics },
pages = {1021--1043},
publisher = {mathdoc},
volume = {77},
number = {5},
year = {2013},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_2013_77_5_a5/}
}
V. A. Stukopin. Representations of the Yangian of a~Lie superalgebra of type~$A(m,n)$. Izvestiya. Mathematics , Tome 77 (2013) no. 5, pp. 1021-1043. http://geodesic.mathdoc.fr/item/IM2_2013_77_5_a5/