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 |
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Hindawi Limited
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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Article |
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doaj-798ae47b564940309382b30a8a9c89e82020-11-24T21:03:05ZengHindawi LimitedInternational 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Maryna O. Nesterenko |
| spellingShingle |
Maryna O. Nesterenko Transformation groups on real plane and their differential invariants International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Maryna O. Nesterenko |
| author_sort |
Maryna O. Nesterenko |
| title |
Transformation groups on real plane and their differential invariants |
| title_short |
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_sort |
transformation groups on real plane and their differential invariants |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2006-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/IJMMS/2006/17410 |
| work_keys_str_mv |
AT marynaonesterenko transformationgroupsonrealplaneandtheirdifferentialinvariants |
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1716774184991850496 |