| Title:
|
Berezin-Weyl quantization for Cartan motion groups (English) |
| Author:
|
Cahen, Benjamin |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
52 |
| Issue:
|
1 |
| Year:
|
2011 |
| Pages:
|
127-137 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We construct adapted Weyl correspondences for the unitary irreducible representations of the Cartan motion group of a noncompact semisimple Lie group by using the method introduced in [B. Cahen, Weyl quantization for semidirect products, Differential Geom. Appl. 25 (2007), 177--190]. (English) |
| Keyword:
|
semidirect product |
| Keyword:
|
Cartan motion group |
| Keyword:
|
unitary representation |
| Keyword:
|
semisimple Lie group |
| Keyword:
|
symplectomorphism |
| Keyword:
|
coadjoint orbit |
| Keyword:
|
Weyl quantization |
| Keyword:
|
Berezin quantization |
| MSC:
|
22E15 |
| MSC:
|
22E45 |
| MSC:
|
22E46 |
| MSC:
|
22E70 |
| MSC:
|
81R05 |
| MSC:
|
81S10 |
| idZBL:
|
Zbl 1240.22010 |
| idMR:
|
MR2828363 |
| . |
| Date available:
|
2011-03-08T17:43:11Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141432 |
| . |
| Reference:
|
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| Reference:
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