Multilocal invariants for the classical groups
Multilocal higher-order invariants, which are higher-order invariants defined at distinct points of representation space, for the classical groups are derived in a systematic way. The basic invariants for the classical groups are the well-known polynomial or rational invariants as derived from the C...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120301233X |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832547478509977600 |
|---|---|
| author | Paul F. Dhooghe |
| author_facet | Paul F. Dhooghe |
| author_sort | Paul F. Dhooghe |
| collection | DOAJ |
| description | Multilocal higher-order invariants, which are higher-order
invariants defined at distinct points of representation space,
for the classical groups are derived in a systematic way. The
basic invariants for the classical groups are the well-known
polynomial or rational invariants as derived from the Capelli
identities. Higher-order invariants are then constructed from the
former ones by means of total derivatives. At each order, it
appears that the invariants obtained in this way do not generate
all invariants. The necessary additional invariants are
constructed from the invariant polynomials on the Lie algebra of
the Lie transformation groups. |
| format | Article |
| id | doaj-art-08f94c4f30654e15a5ed5c900647129d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-08f94c4f30654e15a5ed5c900647129d2025-02-03T06:44:35ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-0120031276310.1155/S016117120301233XMultilocal invariants for the classical groupsPaul F. Dhooghe0Department of Mathematics, Center for Pure and Applied Differential Geometry, KULeuven, Celestijnenlaan 200 B, Leuven 3001, BelgiumMultilocal higher-order invariants, which are higher-order invariants defined at distinct points of representation space, for the classical groups are derived in a systematic way. The basic invariants for the classical groups are the well-known polynomial or rational invariants as derived from the Capelli identities. Higher-order invariants are then constructed from the former ones by means of total derivatives. At each order, it appears that the invariants obtained in this way do not generate all invariants. The necessary additional invariants are constructed from the invariant polynomials on the Lie algebra of the Lie transformation groups.http://dx.doi.org/10.1155/S016117120301233X |
| spellingShingle | Paul F. Dhooghe Multilocal invariants for the classical groups International Journal of Mathematics and Mathematical Sciences |
| title | Multilocal invariants for the classical groups |
| title_full | Multilocal invariants for the classical groups |
| title_fullStr | Multilocal invariants for the classical groups |
| title_full_unstemmed | Multilocal invariants for the classical groups |
| title_short | Multilocal invariants for the classical groups |
| title_sort | multilocal invariants for the classical groups |
| url | http://dx.doi.org/10.1155/S016117120301233X |
| work_keys_str_mv | AT paulfdhooghe multilocalinvariantsfortheclassicalgroups |