Quantisation of semisimple real Lie groups
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909163267817472 |
|---|---|
| author | De Commer, Kenny |
| author_facet | De Commer, Kenny |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_05397 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantisation of semisimple real Lie groups De Commer, Kenny Representation Theory Operator Algebras Quantum Algebra 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. |
| title | Quantisation of semisimple real Lie groups |
| topic | Representation Theory Operator Algebras Quantum Algebra |
| url | https://arxiv.org/abs/2404.05397 |