The Yangian of the strange Lie superalgebra and its quantum double

摘要

We construct the Yangian of the strange Lie superalgebra as a particular case of the general construction of a twisted Yangian. We describe a Poincaré-Birkhoff-Witt basis of the Yangian of the type-Q_n Lie superalgebra and construct the quantum double of the Yangian of the type-Q_2 strange Lie superalgebra.