A Recent Look at the Quantum Berezinian in the Yangian Y(gl_{m|n})

Details A Recent Look at the Quantum Berezinian in the Yangian Y(gl_{m|n}) A Recent Look at the Quantum Berezinian in the Yangian Y(gl_{m|n})

2005-01-04

arxiv.org/abs/math/0501041v3

Czechoslovak Journal of Physics, Vol 55 (2005) No. 11

Mathematics

Quantum Algebra

6 pages, AMS-LaTeX, minor corrections

Scientific paper

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.

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