dc.identifier.uri |
http://dx.doi.org/10.15488/16724 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/16851 |
|
dc.contributor.author |
Schmitt, Philipp
|
|
dc.date.accessioned |
2024-03-21T10:56:54Z |
|
dc.date.available |
2024-03-21T10:56:54Z |
|
dc.date.issued |
2021 |
|
dc.identifier.citation |
Schmitt, P.: Strict quantization of coadjoint orbits. In: Journal of Noncommutative Geometry 15 (2021), Nr. 4, S. 1181-1249. DOI: https://doi.org/10.4171/jncg/429 |
|
dc.description.abstract |
For every semisimple coadjoint orbit Oy of a complex connected semisimple Lie group Gy, we obtain a family of G-invariant products *h„ on the space of holomorphic functions on Oy. For every semisimple coadjoint orbit O of a real connected semisimple Lie group G, we obtain a family of G-invariant products *h on a space A.O/of certain analytic functions on O by restriction. A.O/, endowed with one of the products *h„, is a G-Fréchet algebra, and the formal expansion of the products around h = 0 determines a formal deformation quantization of O, which is of Wick type if G is compact. Our construction relies on an explicit computation of the canonical element of the Shapovalov pairing between generalized Verma modules and complex analytic results on the extension of holomorphic functions. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Zurich : EMS Publ. |
|
dc.relation.ispartofseries |
Journal of Noncommutative Geometry 15 (2021), Nr. 4 |
|
dc.rights |
CC BY 4.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by/4.0/ |
|
dc.subject |
Coadjoint orbits |
eng |
dc.subject |
Formal deformation quantization |
eng |
dc.subject |
Shapovalov pairing |
eng |
dc.subject |
Stein manifolds |
eng |
dc.subject |
Strict quantization |
eng |
dc.subject |
Verma modules |
eng |
dc.subject.ddc |
510 | Mathematik
|
|
dc.title |
Strict quantization of coadjoint orbits |
eng |
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.essn |
1661-6960 |
|
dc.relation.issn |
1661-6952 |
|
dc.relation.doi |
https://doi.org/10.4171/jncg/429 |
|
dc.bibliographicCitation.issue |
4 |
|
dc.bibliographicCitation.volume |
15 |
|
dc.bibliographicCitation.firstPage |
1181 |
|
dc.bibliographicCitation.lastPage |
1249 |
|
dc.description.version |
publishedVersion |
eng |
tib.accessRights |
frei zug�nglich |
|