北京雁栖湖应用数学研究院

黄林哲 , 刘正伟 , 明爽 , 塞巴斯蒂安·帕尔库 , 王亦龙 , 吴劲松

Heon Lee

2025年10月29日 10:30 至 12:00

A3-3-301

Zoom 242 742 6089 (BIMSA)

The first example of a q-deformed complex semisimple Lie group—the quantum Lorentz group introduced by Podleś and Woronowicz (1990)—was defined as a universal $C^*$-algebra given by affiliated unbounded generators and relations. Although this q-deformation was later extended to all complex semisimple quantum groups, the original universal property in terms of generators and relations—the very motivation for introducing complex semisimple quantum groups—has since disappeared from the literature. In this talk, we address this gap. Specifically, we provide an equivalent reformulation of the universal property of the quantum Lorentz group and extend it to all complex semisimple quantum groups. We also discuss several semiclassical aspects of these quantum groups. This talk is based on joint work with Christian Voigt.