Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces
This paper is a sequel to [Caine A., Pickrell D., Int. Math. Res. Not., to appear, arXiv:0710.4484], where we studied the Hamiltonian systems which arise from the Evens-Lu construction of homogeneous Poisson structures on both compact and noncompact type symmetric spaces. In this paper we consider l...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2008 |
| ISSN: | 1815-0659 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149016 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces / D. Pickrell // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 12 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862728377936379904 |
|---|---|
| author | Pickrell, D. |
| author_facet | Pickrell, D. |
| citation_txt | Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces / D. Pickrell // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 12 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | This paper is a sequel to [Caine A., Pickrell D., Int. Math. Res. Not., to appear, arXiv:0710.4484], where we studied the Hamiltonian systems which arise from the Evens-Lu construction of homogeneous Poisson structures on both compact and noncompact type symmetric spaces. In this paper we consider loop space analogues. Many of the results extend in a relatively routine way to the loop space setting, but new issues emerge. The main point of this paper is to spell out the meaning of the results, especially in the SU(2) case. Applications include integral formulas and factorizations for Toeplitz determinants.
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| first_indexed | 2025-12-07T19:08:45Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149016 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:08:45Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Pickrell, D. 2019-02-19T12:59:07Z 2019-02-19T12:59:07Z 2008 Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces / D. Pickrell // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 12 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 22E67; 53D17; 53D20 https://nasplib.isofts.kiev.ua/handle/123456789/149016 This paper is a sequel to [Caine A., Pickrell D., Int. Math. Res. Not., to appear, arXiv:0710.4484], where we studied the Hamiltonian systems which arise from the Evens-Lu construction of homogeneous Poisson structures on both compact and noncompact type symmetric spaces. In this paper we consider loop space analogues. Many of the results extend in a relatively routine way to the loop space setting, but new issues emerge. The main point of this paper is to spell out the meaning of the results, especially in the SU(2) case. Applications include integral formulas and factorizations for Toeplitz determinants. This paper is a contribution to the Special Issue on Kac–Moody Algebras and Applications. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces Article published earlier |
| spellingShingle | Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces Pickrell, D. |
| title | Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces |
| title_full | Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces |
| title_fullStr | Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces |
| title_full_unstemmed | Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces |
| title_short | Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces |
| title_sort | homogeneous poisson structures on loop spaces of symmetric spaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149016 |
| work_keys_str_mv | AT pickrelld homogeneouspoissonstructuresonloopspacesofsymmetricspaces |