Transformation groups on real plane and their differential invariants
Complete sets of bases of differential invariants, operators of invariant differentiation, and Lie determinants of continuous transformation groups acting on the real plane are constructed. As a necessary preliminary, realizations of finite-dimensional Lie algebras on the real plane are revisited.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/17410 |
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| _version_ | 1832566216918564864 |
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| author | Maryna O. Nesterenko |
| author_facet | Maryna O. Nesterenko |
| author_sort | Maryna O. Nesterenko |
| collection | DOAJ |
| description | Complete sets of bases of differential invariants, operators of invariant differentiation, and Lie determinants of continuous transformation groups acting on the real plane are constructed. As a necessary preliminary, realizations of finite-dimensional Lie algebras on the real plane are revisited. |
| format | Article |
| id | doaj-art-798ae47b564940309382b30a8a9c89e8 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-798ae47b564940309382b30a8a9c89e82025-02-03T01:04:50ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/1741017410Transformation groups on real plane and their differential invariantsMaryna O. Nesterenko0Department of Applied Research, Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka Street, Kyiv 4 01601, UkraineComplete sets of bases of differential invariants, operators of invariant differentiation, and Lie determinants of continuous transformation groups acting on the real plane are constructed. As a necessary preliminary, realizations of finite-dimensional Lie algebras on the real plane are revisited.http://dx.doi.org/10.1155/IJMMS/2006/17410 |
| spellingShingle | Maryna O. Nesterenko Transformation groups on real plane and their differential invariants International Journal of Mathematics and Mathematical Sciences |
| title | Transformation groups on real plane and their differential invariants |
| title_full | Transformation groups on real plane and their differential invariants |
| title_fullStr | Transformation groups on real plane and their differential invariants |
| title_full_unstemmed | Transformation groups on real plane and their differential invariants |
| title_short | Transformation groups on real plane and their differential invariants |
| title_sort | transformation groups on real plane and their differential invariants |
| url | http://dx.doi.org/10.1155/IJMMS/2006/17410 |
| work_keys_str_mv | AT marynaonesterenko transformationgroupsonrealplaneandtheirdifferentialinvariants |