学术报告 报告题目：Combinatorial construction of Gelfand-Tsetlin modules for gl(n)
报 告 人：张健 博士 (巴西圣保罗大学）
报告时间：2016年12月06日（星期二）下午15:00-16:00
报告地点：4号楼4318室
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数学学院
2016年12月05日
报告摘要：
We propose a new effective method of constructing explicitly Gelfand-Tsetlin modules for gl(n). We
obtain a large family of irreducible modules (conjecturally all) that have a basis consisting of Gelfand-Tsetlin
tableaux, the action of the Lie algebra is given by the Gelfand-Tsetlin formulas and with all Gelfand-Tsetlin
multiplicities equal 1. As an application of our construction we prove necessary and sufficient condition for
the Gelfand and Graev's continuation construction to define a module which was conjectured by Lemire and
Patera.