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arXiv · 2404.05397

Quantisation of semisimple real Lie groups

Kenny De Commer
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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.

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Kenny De Commer. 2024-04-08. Quantisation of semisimple real Lie groups. https://arxiv.org/abs/2404.05397

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