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

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dc.creatorGow, Lucy
dc.date2005-01-04
dc.date2006-01-20
dc.date.accessioned2026-07-07T06:39:15Z
dc.date.available2026-07-07T06:39:15Z
dc.descriptionBrundan 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.
dc.description6 pages, AMS-LaTeX, minor corrections
dc.identifierhttps://arxiv.org/abs/math/0501041
dc.identifierhttp://arxiv.org/abs/math/0501041
dc.identifierCzechoslovak Journal of Physics, Vol 55 (2005) No. 11
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101007
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subject17B37
dc.titleA Recent Look at the Quantum Berezinian in the Yangian Y(gl_{m|n})
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