V. A. Stukopin, “The Yangian of the strange Lie superalgebra and its quantum double”, TMF, 2013, Volume 174, Number 1,Pages <nobr>140

This article is cited in 8 papers

The Yangian of the strange Lie superalgebra and its quantum double

V. A. Stukopin^ab

^a Southern Mathematical Institute, CRC, RAS, Vladikavkaz, Russia
^b Don State University for Technology, Rostov-on-Don, Russia

Abstract: 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.

Keywords: Yangian of a Lie superalgebra, strange Lie superalgebra, quantum double, Poincaré–Birkhoff–Witt basis.

DOI: 10.4213/tmf8353