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Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
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Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces
Інший ID:
2000 Mathematics Subject Classification: 22E67; 53D17; 53D20
Посилання:
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.
Підтримка:
This paper is a contribution to the Special Issue on Kac–Moody Algebras and Applications.
Дата:
2008
Переглядів:
521
Завантажень:
277
Анотація:
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.
