Quantization of semisimple real Lie groups

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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.

Original languageEnglish
Pages (from-to)285-310
Number of pages26
JournalArchivum Mathematicum
Volume60
Issue number5
DOIs
Publication statusPublished - 2024

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