| Title:
|
Quantization of semisimple real Lie groups (English) |
| Author:
|
De Commer, Kenny |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
60 |
| Issue:
|
5 |
| Year:
|
2024 |
| Pages:
|
285-310 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
quantum groups |
| Keyword:
|
real forms |
| Keyword:
|
quantized enveloping algebras |
| Keyword:
|
Harish-Chandra modules |
| MSC:
|
17B37 |
| MSC:
|
20G42 |
| MSC:
|
46L67 |
| DOI:
|
10.5817/AM2024-5-285 |
| . |
| Date available:
|
2024-12-13T18:45:27Z |
| Last updated:
|
2024-12-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152654 |
| . |
| Reference:
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