On the Structure of Lie Pseudo-Groups
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.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2009 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149122 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862731437152665600 |
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| author | Olver, P.J. Pohjanpelto, J. Valiquette, F. |
| author_facet | Olver, P.J. Pohjanpelto, J. Valiquette, F. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
|
| first_indexed | 2025-12-07T19:26:15Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149122 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:26:15Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Olver, P.J. Pohjanpelto, J. Valiquette, F. 2019-02-19T17:32:09Z 2019-02-19T17:32:09Z 2009 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. 1815-0659 2000 Mathematics Subject Classification: 58A15; 58H05 https://nasplib.isofts.kiev.ua/handle/123456789/149122 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On the Structure of Lie Pseudo-Groups Article published earlier |
| spellingShingle | On the Structure of Lie Pseudo-Groups Olver, P.J. Pohjanpelto, J. Valiquette, F. |
| title | On the Structure of Lie Pseudo-Groups |
| title_full | On the Structure of Lie Pseudo-Groups |
| title_fullStr | On the Structure of Lie Pseudo-Groups |
| title_full_unstemmed | On the Structure of Lie Pseudo-Groups |
| title_short | On the Structure of Lie Pseudo-Groups |
| title_sort | on the structure of lie pseudo-groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149122 |
| work_keys_str_mv | AT olverpj onthestructureofliepseudogroups AT pohjanpeltoj onthestructureofliepseudogroups AT valiquettef onthestructureofliepseudogroups |