Geodesic
A New Example of a Group-Valued Moment Map
Alimjon Eshmatov1
1Department of Mathematics, Cornell University, Ithaca, NY 14850, U.S.A.
Journal of Lie Theory, Tome 19 (2009) no. 2, pp. 395-407

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

The purpose of this paper is to construct a new example of group-valued moment maps. As the main tool for construction of such an example we use quasi-symplectic implosion, which was introduced by J. Hurtubise, L. Jeffrey and R. Sjamaar. More precisely we show that there are certain strata of DSp(n)impl, the universal imploded space, where it is singular but whose closure is a smooth quasi-Hamiltonian Sp(n) × T space.
Classification : 53D20
Mots-clés : Quasi-Hamiltonian space, moment map, quaternionic projective space

Alimjon Eshmatov  1

1 Department of Mathematics, Cornell University, Ithaca, NY 14850, U.S.A. 
Alimjon Eshmatov. A New Example of a Group-Valued Moment Map. Journal of Lie Theory, Tome 19 (2009) no. 2, pp. 395-407. http://geodesic.mathdoc.fr/item/JOLT_2009_19_2_a12/
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