
Journal of Lie Theory 19 (2009), No. 2, 395407 Copyright Heldermann Verlag 2009 A New Example of a GroupValued Moment Map Alimjon Eshmatov Department of Mathematics, Cornell University, Ithaca, NY 14850, U.S.A. aeshmat@math.cornell.edu The purpose of this paper is to construct a new example of groupvalued moment maps. As the main tool for construction of such an example we use quasisymplectic 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 quasiHamiltonian Sp(n) × T space. Keywords: QuasiHamiltonian space, moment map, quaternionic projective space. MSC: 53D20 [ Fulltextpdf (203 KB)] for subscribers only. 