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...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120301233X |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |