Geodesic
Orbital Convolution Theory for Semi-Direct Products
A. H. Dooley1 ; N. J. Wildberger1
1School of Mathematics, University of New South Wales, Sydney NSW 2052, Australia
Journal of Lie Theory, Tome 16 (2006) no. 4, pp. 743-776

Voir la notice de l'article provenant de la source Heldermann Verlag

We extend previous results of the authors on orbital convolutions for compact groups, to compact times vector semidirect products. In particular, we define convolutions of noncompact coadjoint orbits and recover the character formulae and Plancherel formula of Lipsman.
Classification : 43A80, 22E15
Mots-clés : Lie group, semi-direct product, character formula, coadjoint orbit

A. H. Dooley  1   ; N. J. Wildberger  1

1 School of Mathematics, University of New South Wales, Sydney NSW 2052, Australia 
A. H. Dooley; N. J. Wildberger. Orbital Convolution Theory for Semi-Direct Products. Journal of Lie Theory, Tome 16 (2006) no. 4, pp. 743-776. http://geodesic.mathdoc.fr/item/JOLT_2006_16_4_a5/
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     title = {Orbital {Convolution} {Theory} for {Semi-Direct} {Products}},
     journal = {Journal of Lie Theory},
     pages = {743--776},
     year = {2006},
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     number = {4},
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