The ring of universal characters of type $A$ and crystals
报告专家：Kwon Jae-Hoon教授(首尔国立大学)
报告时间：2026年4月17日（星期五）上午10:00-11:00
报告地点：国家天元数学西南中心516
报告摘要：
The ring of universal characters was introduced by Koike to explain the stability phenomenon appearing in the decomposition of tensor products of rational representations of complex general linear groups. In this talk, we show that the ring of universal characters of type A can be realized as the Grothendieck ring of a non-semisimple category of representations of quantum groups of type A_{+\infty}, generated by extremal weight modules. We also describe the socle filtration of the tensor product of any two extremal weight modules. This is a joint work with Soo-Hong Lee (arXiv:2501.07941).
专家简介：
Jae-Hoon Kwon,韩国首尔国立大学教授，2001年获得首尔国立大学博士学位，研究方向主要是李超代数的特征标理论、量子（超）群的晶体基，量子（超）群的组合理论等。目前已在Adv. Math., Comm. Math. Phys., Proc. Lond. Math. Soc., Trans. Amer. Math. Soc., J. Comb. Theory., J. Combin. Theory Ser. A等杂志发表60多篇高水平论文。
邀请人：卢明
