Brundan and Kleshchev recently introduced a new family of presentations of the Yangian Y(gl_n) associated to the general linear Lie algebra gl_n, and thus provided a fresh approach to its study. In this article, we show how some of their ideas can be fruitfully extended to consider the Yangian Y(gl_{ m|n}) associated to the Lie superalgebra gl_{ m|n}. In particular, we give a new proof of the result by Nazarov that the quantum Berezinian is central.
Categories: math.QA math-ph math.MP