Quantisation of semisimple real Lie groups
Representation Theory
2024-04-09 v1 Operator Algebras
Quantum Algebra
Abstract
We provide a novel construction of quantized universal enveloping -algebras of real semisimple Lie algebras, based on Letzter's theory of quantum symmetric pairs. We show that these structures can be `integrated', leading to a quantization of the group C-algebra of an arbitrary semisimple algebraic real Lie group.
Keywords
Cite
@article{arxiv.2404.05397,
title = {Quantisation of semisimple real Lie groups},
author = {Kenny De Commer},
journal= {arXiv preprint arXiv:2404.05397},
year = {2024}
}
Comments
21 pages. For submission to the conference proceedings of the Conference `Quantum Groups and Noncommutative Geometry' (Prague, 2023)