On the Moment Map of a Multiplicity Free Action
Colloquium Mathematicum, Tome 71 (1996) no. 1, pp. 107-110
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
The purpose of this note is to show that the Orbit Conjecture of C. Benson, J. Jenkins, R. L. Lipsman and G. Ratcliff [BJLR1] is true. Another proof of that fact has been given by those authors in [BJLR2]. Their proof is based on their earlier results, announced together with the conjecture in [BJLR1]. We follow another path: using a geometric quantization result of Guillemin-Sternberg [G-S] we reduce the conjecture to a similar statement for a projective space, which is a special case of a characterization of projective smooth spherical varieties due to Brion [B2].
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author = {Andrzej Daszkiewicz and Tomasz Przebinda},
title = {On the {Moment} {Map} of a {Multiplicity} {Free} {Action}},
journal = {Colloquium Mathematicum},
pages = {107--110},
publisher = {mathdoc},
volume = {71},
number = {1},
year = {1996},
doi = {10.4064/cm-71-1-107-110},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-71-1-107-110/}
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Andrzej Daszkiewicz; Tomasz Przebinda. On the Moment Map of a Multiplicity Free Action. Colloquium Mathematicum, Tome 71 (1996) no. 1, pp. 107-110. doi: 10.4064/cm-71-1-107-110
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