BIMSA > BIMSA-Tsinghua Quantum Symmetry Seminar Quantum Holomorphic Evaluations and the Universal Property of Complex Semisimple Quantum Groups
Quantum Holomorphic Evaluations and the Universal Property of Complex Semisimple Quantum Groups
Organizers
Linzhe Huang , Zhengwei Liu , Shuang Ming , Sebastien Palcoux , Yilong Wang , Jinsong Wu
Speaker
Heon Lee
Time
Wednesday, October 29, 2025 10:30 AM - 12:00 PM
Venue
A3-3-301
Online
Zoom 242 742 6089 (BIMSA)
Abstract
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.