A Recent Look at the Quantum Berezinian in the Yangian Y(glm|n)
Abstract
Brundan and Kleshchev recently introduced a new family of presentations of the Yangian Y(gln) associated to the general linear Lie algebra gln, 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(glm|n) associated to the Lie superalgebra glm|n. In particular, we give a new proof of the result by Nazarov that the quantum Berezinian is central.
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