Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces
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| Creator |
Pickrell, D.
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| 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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| Date |
2019-02-19T12:59:07Z
2019-02-19T12:59:07Z 2008 |
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| Type |
Article
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| Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/149016 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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