A Recent Look at the Quantum Berezinian in the Yangian Y(gl_{m|n})
Quantum Algebra
2007-05-23 v3 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.math/0501041,
title = {A Recent Look at the Quantum Berezinian in the Yangian Y(gl_{m|n})},
author = {Lucy Gow},
journal= {arXiv preprint arXiv:math/0501041},
year = {2007}
}
Comments
6 pages, AMS-LaTeX, minor corrections