Journal of Lie Theory

no. 2
A New Example of a Group-Valued Moment Map
Journal of Lie Theory, Volume 19 (2009) no. 2, pp. 395-407
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.
DOI: 10.5802/jolt.559
Classification: 53D20
Keywords: Quasi-Hamiltonian space, moment map, quaternionic projective space 
@article{JOLT_2009_19_2_a12,
     author = {A. Eshmatov},
     title = {A {New} {Example} of a {Group-Valued} {Moment} {Map}},
     journal = {Journal of Lie Theory},
     pages = {395--407},
     year = {2009},
     volume = {19},
     number = {2},
     doi = {10.5802/jolt.559},
     zbl = {1182.53076},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.559/}
}
TY  - JOUR
AU  - A. Eshmatov
TI  - A New Example of a Group-Valued Moment Map
JO  - Journal of Lie Theory
PY  - 2009
SP  - 395
EP  - 407
VL  - 19
IS  - 2
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.559/
DO  - 10.5802/jolt.559
ID  - JOLT_2009_19_2_a12
ER  - 
%0 Journal Article
%A A. Eshmatov
%T A New Example of a Group-Valued Moment Map
%J Journal of Lie Theory
%D 2009
%P 395-407
%V 19
%N 2
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.559/
%R 10.5802/jolt.559
%F JOLT_2009_19_2_a12
A. Eshmatov. A New Example of a Group-Valued Moment Map. Journal of Lie Theory, Volume 19 (2009) no. 2, pp. 395-407. doi: 10.5802/jolt.559

Cited by Sources: