On the Moment Mapping

Victor Guillemin

Recherche Coopérative sur Programme n°25 (1983)

  • Volume: 32, page 1-16

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Guillemin, Victor. "On the Moment Mapping." Recherche Coopérative sur Programme n°25 32 (1983): 1-16. <http://eudml.org/doc/274154>.

@article{Guillemin1983,
author = {Guillemin, Victor},
journal = {Recherche Coopérative sur Programme n°25},
language = {eng},
pages = {1-16},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {On the Moment Mapping},
url = {http://eudml.org/doc/274154},
volume = {32},
year = {1983},
}

TY - JOUR
AU - Guillemin, Victor
TI - On the Moment Mapping
JO - Recherche Coopérative sur Programme n°25
PY - 1983
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 32
SP - 1
EP - 16
LA - eng
UR - http://eudml.org/doc/274154
ER -

References

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  1. 1. M. Atiyah, "Convexity and commuting Hamiltonians," Bull. Lon. Math. Soc.14 (1982) 1-15. Zbl0482.58013MR642416
  2. 2. M. Atiyah and R. Bott, "The Yang-Mills equations over Riemann surfaces" Compositio Math. (to appear). Zbl0509.14014MR702806
  3. 3. V. Guillemin and S. Sternberg, "The moment mapping and collective motion" Annals of Physics127 (1980) 220-253. Zbl0453.58015MR576424
  4. 4. V. Guillemin and S. Sternberg, "Convexity properties of the moment mapping" Inv. Math.67 (1982) 491-513. Zbl0503.58017MR664117
  5. 5. V. Guillemin and S. Sternberg, "On collective complete integrability according to the method of Thimm," Ergodic Theory and Dyn. Systems (to appear). Zbl0511.58024MR742224
  6. 6. V. Guillemin and S. Sternberg, "Multiplicity-free spaces" (to appear). Zbl0548.58017MR739781
  7. 7. G. Heckman, "Projections of orbits and asymptotic behavior of multiplicites for compact connected Lie groups" Inventiones. 67 (1982) 333-356. Zbl0497.22006MR665160
  8. 8. A. Horn, "Doubly stochastic matrices and the diagonal of a rotation matrix," Amer. Jour. Math.76 (1954) 620-630. Zbl0055.24601MR63336
  9. 9. G. Kempf and L. Ness, "The length of vectors in representation spaces," Algebraic Geometry, Proceedings, Copenhagen 1978Lecture Notes in Math.Springer732 (1979). Zbl0407.22012MR555701
  10. 10. F. Kirwan, "The cohomology of quotient spaces in algebraic geometry" Thesis Oxford (1982). MR681593
  11. 11. B. Kostant, "On convexity, the Weyl group and the Iwasawa decomposition" Ann. Sci. Ec. Norm. Sup.6 (1973) 413-455. Zbl0293.22019MR364552
  12. 12. J. Marsden and A. Weinstein, "Reduction of symplectic manifolds with symmetry," Jour. Math. Phys.5 (1974) 121-130. Zbl0327.58005MR402819
  13. 13. D. Mumford and J. Fogarty, "Geometric Invariant Theory, Second Enlarged Edition, Springer-Verlag, New York, 1982. Zbl0797.14004MR719371
  14. 14. L. Ness, "A stratification of the null cone via the moment map" Amer. Jour. Math. (to appear). Zbl0604.14006MR765581
  15. 15. J. W. S. Rayleigh, "Note on the finite vibrations of a system about a configuration of equilibrium" Phil Mag.20 (1910) 450-456. Zbl41.0910.03JFM41.0910.03
  16. 16. I. Shur, "Über eine Klasse von Mittelbildungen mit Anwendungen auf der Determinanten theorie," Sitzungsberichte der Berliner Math. Gesellshaft22 (1923). JFM49.0054.01
  17. 17. J. M. Souriau, Structure des systèmes dynamiques, Paris, Dunod (1969). Zbl0186.58001
  18. 18. A. Weinstein, "Neighborhood classfication of isotropic imbeddings". Jour. Diff. Geom.16 (1981) 125-128. Zbl0453.53030MR633631

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