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On the Structure of Lie Pseudo-Groups
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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On the Structure of Lie Pseudo-Groups
Інший ID:
2000 Mathematics Subject Classification: 58A15; 58H05
Посилання:
On the Structure of Lie Pseudo-Groups / P.J. Olver, J. Pohjanpelto, F. Valiquette // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 25 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue “Elie Cartan and Differential Geometry”. We would like to thank Olle Stormark and anonymous referees for helpful remarks and references that served to improve the paper. The first author was supported in part by NSF Grant DMS 08–07317; the second author by NSF Grant OCE 06–21134; the third author by NSF Grant DMS 05–05293 and a University of Minnesota Graduate School Doctoral Dissertation Fellowship.
Дата:
2009
Переглядів:
459
Завантажень:
232
Анотація:
We compare and contrast two approaches to the structure theory for Lie pseudo-groups, the first due to Cartan, and the second due to the first two authors. We argue that the latter approach offers certain advantages from both a theoretical and practical standpoint.
