On the Moment Mapping
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 32 (1983), Exposé no. 1, 16 p. 
@article{RCP25_1983__32__1_0,
     author = {Guillemin, Victor},
     title = {On the {Moment} {Mapping}},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     note = {talk:1},
     pages = {1--16},
     publisher = {Institut de Recherche Math\'ematique Avanc\'ee - Universit\'e Louis Pasteur},
     volume = {32},
     year = {1983},
     language = {en},
     url = {http://www.numdam.org/item/RCP25_1983__32__1_0/}
}
TY  - JOUR
AU  - Guillemin, Victor
TI  - On the Moment Mapping
JO  - Les rencontres physiciens-mathématiciens de Strasbourg -RCP25
N1  - talk:1
PY  - 1983
SP  - 1
EP  - 16
VL  - 32
PB  - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
UR  - http://www.numdam.org/item/RCP25_1983__32__1_0/
LA  - en
ID  - RCP25_1983__32__1_0
ER  - 
%0 Journal Article
%A Guillemin, Victor
%T On the Moment Mapping
%J Les rencontres physiciens-mathématiciens de Strasbourg -RCP25
%Z talk:1
%D 1983
%P 1-16
%V 32
%I Institut de Recherche Mathématique Avancée - Université Louis Pasteur
%U http://www.numdam.org/item/RCP25_1983__32__1_0/
%G en
%F RCP25_1983__32__1_0
Guillemin, Victor. On the Moment Mapping. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 32 (1983), Exposé no. 1, 16 p. http://www.numdam.org/item/RCP25_1983__32__1_0/

1. M. Atiyah, "Convexity and commuting Hamiltonians," Bull. Lon. Math. Soc. 14 (1982) 1-15. | MR | Zbl

2. M. Atiyah and R. Bott, "The Yang-Mills equations over Riemann surfaces" Compositio Math. (to appear). | MR | Zbl

3. V. Guillemin and S. Sternberg, "The moment mapping and collective motion" Annals of Physics 127 (1980) 220-253. | MR | Zbl

4. V. Guillemin and S. Sternberg, "Convexity properties of the moment mapping" Inv. Math. 67 (1982) 491-513. | MR | Zbl

5. V. Guillemin and S. Sternberg, "On collective complete integrability according to the method of Thimm," Ergodic Theory and Dyn. Systems (to appear). | MR | Zbl

6. V. Guillemin and S. Sternberg, "Multiplicity-free spaces" (to appear). | MR | Zbl

7. G. Heckman, "Projections of orbits and asymptotic behavior of multiplicites for compact connected Lie groups" Inventiones. 67 (1982) 333-356. | MR | Zbl

8. A. Horn, "Doubly stochastic matrices and the diagonal of a rotation matrix," Amer. Jour. Math. 76 (1954) 620-630. | MR | Zbl

9. G. Kempf and L. Ness, "The Length Of Vectors In Representation Spaces," Algebraic Geometry, Proceedings, Copenhagen 1978 Lecture Notes in Math. Springer 732 (1979). | MR | Zbl

10. F. Kirwan, "The cohomology of quotient spaces in algebraic geometry" Thesis Oxford (1982). | MR

11. B. Kostant, "On convexity, the Weyl group and the Iwasawa decomposition" Ann. Sci. Ec. Norm. Sup. 6 (1973) 413-455. | Numdam | MR | Zbl

12. J. Marsden and A. Weinstein, "Reduction of symplectic manifolds with symmetry," Jour. Math. Phys. 5 (1974) 121-130. | MR | Zbl

13. D. Mumford and J. Fogarty, "Geometric Invariant Theory, Second Enlarged Edition, Springer-Verlag, New York, 1982. | MR | Zbl

14. L. Ness, "A stratification of the null cone via the moment map" Amer. Jour. Math. (to appear). | MR | Zbl

15. J. W. S. Rayleigh, "Note on the finite vibrations of a system about a configuration of equilibrium" Phil Mag. 20 (1910) 450-456. | JFM

16. I. Shur, "Über eine Klasse von Mittelbildungen mit Anwendungen auf der Determinanten theorie," Sitzungsberichte der Berliner Math. Gesellshaft 22 (1923). | JFM

17. J. M. Souriau, Structure des systèmes dynamiques, Paris, Dunod (1969). | Zbl

18. A. Weinstein, "Neighborhood classfication of isotropic imbeddings". Jour. Diff. Geom. 16 (1981) 125-128. | MR | Zbl