q-Independence of the Jimbo–Drinfeld Quantization

  title={q-Independence of the Jimbo–Drinfeld Quantization},
  author={Olof Giselsson},
  journal={Communications in Mathematical Physics},
  pages={1737 - 1765}
  • Olof Giselsson
  • Published 5 November 2018
  • Materials Science
  • Communications in Mathematical Physics
Let G\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathrm {G}}$$\end{document} be a connected semi-simple compact Lie group and for 0<q<1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek… 
1 Citations

Crystal limits of compact semisimple quantum groups as higher-rank graph algebras

Let Oq [K ] denote the quantized coordinate ring over the field C(q) of rational functions corresponding to a compact semisimple Lie group K , equipped with its ∗-structure. Let A0 ⊂ C(q) denote the



Quantized Algebras of Functions on Homogeneous Spaces with Poisson Stabilizers

Let G be a simply connected semisimple compact Lie group with standard Poisson structure, K a closed Poisson-Lie subgroup, 0 < q < 1. We study a quantization C(Gq/Kq) of the algebra of continuous

SOIBELMAN, Algebra of Functions on Quantum Groups: Part 1, Mathematical Surveys and Monographs, 56

  • American Mathematical Society,
  • 1998

A Rigidity Property for Quantum SU (3) Groups

Quantum groups were introduced by Drinfeld in the mid 80’s (see [4]). Originally these objects were studied in connection with the inverse scattering problem. Later quantum groups became interesting

Quantum Groups

Here is an introduction to the theory of quantum groups with emphasis on the spectacular connections with knot theory and Drinfeld's recent fundamental contributions. It presents the quantum groups

Aq-difference analogue of U(g) and the Yang-Baxter equation

Aq-difference analogue of the universal enveloping algebra U(g) of a simple Lie algebra g is introduced. Its structure and representations are studied in the simplest case g=sl(2). It is then applied

Compact matrix pseudogroups

The compact matrix pseudogroup is a non-commutative compact space endowed with a group structure. The precise definition is given and a number of examples is presented. Among them we have compact