English

Complex semisimple quantum groups and representation theory

Quantum Algebra 2020-09-29 v4

Abstract

These notes contain an introduction to the theory of complex semisimple quantum groups. Our main aim is to discuss the classification of irreducible Harish-Chandra modules for these quantum groups, following Joseph and Letzter. Along the way we cover extensive background material on quantized universal enveloping algebras and explain connections to the analytical theory in the setting of locally compact quantum groups.

Keywords

Cite

@article{arxiv.1705.05661,
  title  = {Complex semisimple quantum groups and representation theory},
  author = {Christian Voigt and Robert Yuncken},
  journal= {arXiv preprint arXiv:1705.05661},
  year   = {2020}
}

Comments

Minor revisions. To be published in Lecture Notes in Mathematics

R2 v1 2026-06-22T19:48:26.912Z