File Download
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1093/imrn/rnw189
- Scopus: eid_2-s2.0-85037743417
- WOS: WOS:000412935600006
- Find via
Supplementary
- Citations:
- Appears in Collections:
Article: Mixed Product Poisson Structures Associated to Poisson Lie Groups and Lie Bialgebras
| Title | Mixed Product Poisson Structures Associated to Poisson Lie Groups and Lie Bialgebras |
|---|---|
| Authors | |
| Issue Date | 2017 |
| Publisher | Oxford University Press. The Journal's web site is located at http://imrn.oxfordjournals.org |
| Citation | International Mathematics Research Notices, 2017, v. 2017 n. 19, p. 5919-5976 How to Cite? |
| Abstract | We introduce and study some mixed product Poisson structures on product manifolds associated to Poisson Lie groups and Lie bialgebras. For quasitriangular Lie bialgebras, our construction is equivalent to that of fusion products of quasi-Poisson GG-manifolds introduced by Alekseev, Kosmann-Schwarzbach, and Meinrenken. Our primary examples include four series of holomorphic Poisson structures on products of flag varieties and related spaces of complex semi-simple Lie groups. |
| Persistent Identifier | http://hdl.handle.net/10722/234645 |
| ISSN | 2023 Impact Factor: 0.9 2023 SCImago Journal Rankings: 1.337 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Lu, J | - |
| dc.contributor.author | Mouquin, V | - |
| dc.date.accessioned | 2016-10-14T13:48:14Z | - |
| dc.date.available | 2016-10-14T13:48:14Z | - |
| dc.date.issued | 2017 | - |
| dc.identifier.citation | International Mathematics Research Notices, 2017, v. 2017 n. 19, p. 5919-5976 | - |
| dc.identifier.issn | 1073-7928 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/234645 | - |
| dc.description.abstract | We introduce and study some mixed product Poisson structures on product manifolds associated to Poisson Lie groups and Lie bialgebras. For quasitriangular Lie bialgebras, our construction is equivalent to that of fusion products of quasi-Poisson GG-manifolds introduced by Alekseev, Kosmann-Schwarzbach, and Meinrenken. Our primary examples include four series of holomorphic Poisson structures on products of flag varieties and related spaces of complex semi-simple Lie groups. | - |
| dc.language | eng | - |
| dc.publisher | Oxford University Press. The Journal's web site is located at http://imrn.oxfordjournals.org | - |
| dc.relation.ispartof | International Mathematics Research Notices | - |
| dc.rights | Post-print: This is a pre-copy-editing, author-produced PDF of an article accepted for publication in [International Mathematics Research Notices] following peer review. The definitive publisher-authenticated version [International Mathematics Research Notices, 2017, v. 2017 n. 19, p. 5919-5976] is available online at: http://dx.doi.org/10.1093/imrn/rnw189 | - |
| dc.title | Mixed Product Poisson Structures Associated to Poisson Lie Groups and Lie Bialgebras | - |
| dc.type | Article | - |
| dc.identifier.email | Lu, J: jhluhku@hku.hk | - |
| dc.identifier.authority | Lu, J=rp00753 | - |
| dc.description.nature | postprint | - |
| dc.identifier.doi | 10.1093/imrn/rnw189 | - |
| dc.identifier.scopus | eid_2-s2.0-85037743417 | - |
| dc.identifier.hkuros | 269797 | - |
| dc.identifier.volume | 2017 | - |
| dc.identifier.issue | 19 | - |
| dc.identifier.spage | 5919 | - |
| dc.identifier.epage | 5976 | - |
| dc.identifier.isi | WOS:000412935600006 | - |
| dc.publisher.place | United Kingdom | - |
| dc.identifier.issnl | 1073-7928 | - |