On the Yangian Y $$(\mathfrak{g}\mathfrak{l}_{m|n} )$$ and its quantum Berezinian期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

On the Yangian Y $$(\mathfrak{g}\mathfrak{l}_{m\|n} )$$ and its quantum Berezinian

Authors:	Lucy Gow

Institution:	(1) School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia

Abstract:	Jonathan Brundan and Alexander Kleshchev recently introduced a new family of presentations for the Yangian Y $(\mathfrak{g}\mathfrak{l}_n )$ of the general linear Lie algebra $\mathfrak{g}\mathfrak{l}_n$ . In this article, we extend some of their ideas to consider the Yangian Y $(\mathfrak{g}\mathfrak{l}_{m\|n} )$ of the Lie superalgebra $\mathfrak{g}\mathfrak{l}_{m\|n}$ . In particular, we give a new proof of the result by Nazarov that the quantum Berezinian is central. Presented at the International Colloquium “Integrable Systems and Quantum Symmetries”, Prague, 16–18 June 2005.

Keywords:	quantum Berezinian Yangians
本文献已被 SpringerLink 等数据库收录！