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Les invariants polynômes de la représentation coadjointe de groupes inhomogènes
Mustapha Raïs
Explicit generators are given for the ring of invariant polynomials under the coadjoint representation of certain inhomogeneous groups.
Notes sur la notion d'invariant caractéristique
Mustapha Raïs
Let be a Lie group acting on a vector space . Given a set of -invariants, one can ask the question : does this set of invariants characterize the group ? We recall he…
Note sur les invariants du groupe affine
Mustapha Raïs
In the paper, it is proved that any -function on GL(n) which is locally -invariant (here is the affine (sub)group of GL(n)) is locally -invairant. There is also a…
Notes sur l'indice des algèbres de Lie (II)
Mustapha Raïs
This text is a continuation to "Notes sur l'indice des algèbres de Lie (I)", math.RT/0605499 ----- Ce texte est une suite à : "Notes sur l'indice des algèbres de Lie (I)".
Notes sur l'indice des algèbres de Lie (I)
Mustapha Raïs
This article contains: - Proofs of certain results recently obtained by D. Panyushev. - An addendum to the "inequality of Panyushev". - Calculations of indexes of certain contracte…