| Проекция инвариантной меры с орбиты коприсоединенного представления на подалгебру Картана | |
| Сергей Викторович Никитин 1 | |
| 1.1Омский государственный университет | |
| Дата поступления 1997.04.01 | Аннотация. An explicit geometric construction is given for the projection to a Cartan subalgebra of a compact Lie algebra of the invariant measure on a coadjoint orbit. The density of the projection is the volume of a polytope which is the intersection of a cone and an affine subspace. |
| Ключевые слова математика | |
Библиография [1] Kostant B. On convexity, the Weyl group and the Iwasawa decomposition // Ann. Sci. Ecole Norm. Sup. 1973. N.6. С.413-455. [2] Guillemin V., Stenberg S. Convexity properties of the moment mapping // Invent. Math. 1982. N.67. С.491-513. [3] Atiyah M. Convexity and commuting hamiltonians // Bull. London Math. Soc. 1982. N.14. С.1-15. [4] Duistermaat J. J., and Heckman G. J. On the variation in the cohomology in the symplectic form of the reduced phase space // Invent. Math. 1982. N.69. С.259-268. [5] Neeb K.-H. A Duistermaat-Heckman formula for admissible coadjoint orbits, preprint. | |
Сведения о финансировании и благодарности | |
| Проекция инвариантной меры с орбиты коприсоединенного представления на подалгебру Картана | |
| Сергей Викторович Никитин 1 | |
| 1.1Omsk State University | |
| Received 1997.04.01 | Abstract. An explicit geometric construction is given for the projection to a Cartan subalgebra of a compact Lie algebra of the invariant measure on a coadjoint orbit. The density of the projection is the volume of a polytope which is the intersection of a cone and an affine subspace. |
| Keywords mathematics | |
References [1] Kostant B. On convexity, the Weyl group and the Iwasawa decomposition // Ann. Sci. Ecole Norm. Sup. 1973. N.6. С.413-455. [2] Guillemin V., Stenberg S. Convexity properties of the moment mapping // Invent. Math. 1982. N.67. С.491-513. [3] Atiyah M. Convexity and commuting hamiltonians // Bull. London Math. Soc. 1982. N.14. С.1-15. [4] Duistermaat J. J., and Heckman G. J. On the variation in the cohomology in the symplectic form of the reduced phase space // Invent. Math. 1982. N.69. С.259-268. [5] Neeb K.-H. A Duistermaat-Heckman formula for admissible coadjoint orbits, preprint. | |
Acknowledgements | |
| Сведения об авторах Сергей Викторович Никитин 1.1 |
| About the authors Сергей Викторович Никитин 1.1 |
