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Journal of Lie Theory 19 (2009), No. 2, 395--407
Copyright Heldermann Verlag 2009

A New Example of a Group-Valued Moment Map

Alimjon Eshmatov
Department of Mathematics, Cornell University, Ithaca, NY 14850, U.S.A.

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.

Keywords: Quasi-Hamiltonian space, moment map, quaternionic projective space.

MSC: 53D20

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