메뉴 건너뛰기




Volumn 41, Issue 3, 1997, Pages 462-487

The centralizer of invariant functions and division properties of the moment map

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000474292     PISSN: 00192082     EISSN: None     Source Type: Journal    
DOI: 10.1215/ijm/1255985740     Document Type: Article
Times cited : (11)

References (30)
  • 1
    • 0001799504 scopus 로고
    • Symplectic geometry
    • V. I. Arnold and S. P Novikov (eds.), Springer-Verlag, New York
    • V. I. Arnold and A. Givental, "Symplectic geometry" in Dynamical systems IV, V. I. Arnold and S. P Novikov (eds.), Springer-Verlag, New York, 1990.
    • (1990) Dynamical Systems IV , vol.4
    • Arnold, V.I.1    Givental, A.2
  • 2
    • 84874962985 scopus 로고
    • Convexity and commuting hamiltonians
    • M. Atiyah, Convexity and commuting hamiltonians, Bull. London Math. Soc. 14 (1982), 1-15.
    • (1982) Bull. London Math. Soc. , vol.14 , pp. 1-15
    • Atiyah, M.1
  • 4
    • 0038659447 scopus 로고
    • Composite differentiable functions
    • E. Bierstone and P. D. Milman, Composite differentiable functions, Ann. of Math. 116 (1982), 541-558.
    • (1982) Ann. of Math. , vol.116 , pp. 541-558
    • Bierstone, E.1    Milman, P.D.2
  • 5
    • 0010769840 scopus 로고
    • Algebras of composite differentiable functions
    • E. Bierstone and P. D. Milman, Algebras of composite differentiable functions, Proc. Symp. Pure Math. 40 (1983) part 1, 127-143.
    • (1983) Proc. Symp. Pure Math. , vol.40 , Issue.PART 1 , pp. 127-143
    • Bierstone, E.1    Milman, P.D.2
  • 7
    • 84962986435 scopus 로고
    • Poisson cohomology of Morita-equivalent Poisson manifolds
    • V. L. Ginzburg and J.-H. Lu, Poisson cohomology of Morita-equivalent Poisson manifolds, International Math. Research Notices 10 (1992), 199-205.
    • (1992) International Math. Research Notices , vol.10 , pp. 199-205
    • Ginzburg, V.L.1    Lu, J.-H.2
  • 8
    • 0000163044 scopus 로고
    • The moment map and collective motion
    • V. Guillemin and S. Sternberg, The moment map and collective motion, Ann. Physics 127 (1980) 220-253.
    • (1980) Ann. Physics , vol.127 , pp. 220-253
    • Guillemin, V.1    Sternberg, S.2
  • 9
    • 0000567544 scopus 로고
    • Convexity properties of the moment mapping
    • _, Convexity properties of the moment mapping, Invent. Math. 67 (1982), 491-513.
    • (1982) Invent. Math. , vol.67 , pp. 491-513
  • 10
    • 84972507000 scopus 로고
    • Multiplicity-free spaces
    • _, Multiplicity-free spaces, J. Differential Geometry 19 (1984), 31-56.
    • (1984) J. Differential Geometry , vol.19 , pp. 31-56
  • 11
    • 0000618323 scopus 로고
    • A normal form for the moment map
    • S. Sternberg, ed., Reidel Publishing Company, Dordrecht
    • _, "A normal form for the moment map" in Differential geometric methods in mathematical physics, S. Sternberg, ed., Reidel Publishing Company, Dordrecht, 1984.
    • (1984) Differential Geometric Methods in Mathematical Physics
  • 12
    • 0004205830 scopus 로고
    • Cambridge University Press, Cambridge
    • _. Symplectic techniques in physics, Cambridge University Press, Cambridge, 1990.
    • (1990) Symplectic Techniques in Physics
  • 13
    • 0011466956 scopus 로고
    • Remarks on classical invariant theory
    • R. Howe, Remarks on classical invariant theory, Trans. A.M.S. 313 (1989), 539-570.
    • (1989) Trans. A.M.S. , vol.313 , pp. 539-570
    • Howe, R.1
  • 14
    • 0009325654 scopus 로고
    • Restrictions und expansions of holomorphic representations
    • H. P. Jakobsen and M. Vergne, Restrictions und expansions of holomorphic representations, J. Funct. Anal. 34 (1979), 29-53.
    • (1979) J. Funct. Anal. , vol.34 , pp. 29-53
    • Jakobsen, H.P.1    Vergne, M.2
  • 16
    • 0001833206 scopus 로고
    • On the Segal-Shale-Weil representations and harmonic polynomials
    • M. Kashiwara and M. Vergne, On the Segal-Shale-Weil representations and harmonic polynomials, Invent. Math. 44 (1978), 1-17.
    • (1978) Invent. Math. , vol.44 , pp. 1-17
    • Kashiwara, M.1    Vergne, M.2
  • 17
    • 84980148563 scopus 로고
    • Hamiltonian group actions and dynamical systems of Calogero type
    • D. Kazhdan, B. Kostant and S. Sternberg, Hamiltonian group actions and dynamical systems of Calogero type, Comm. Pure Appl. Math. 31 (1978), 481-508.
    • (1978) Comm. Pure Appl. Math. , vol.31 , pp. 481-508
    • Kazhdan, D.1    Kostant, B.2    Sternberg, S.3
  • 18
    • 0001009018 scopus 로고
    • Convexity properties of the moment mapping III
    • F. Kirwan, Convexity properties of the moment mapping III, Invent. Math. 77 (1984), 547-552.
    • (1984) Invent. Math. , vol.77 , pp. 547-552
    • Kirwan, F.1
  • 19
    • 0003312306 scopus 로고
    • Cohomology of quotients in symplectic and algebraic geometry
    • Princeton University Press, Princeton
    • F. Kirwan, Cohomology of Quotients in Symplectic and Algebraic Geometry, Mathematical Notes, no. 31, Princeton University Press, Princeton, 1984.
    • (1984) Mathematical Notes , vol.31
    • Kirwan, F.1
  • 20
    • 0012624374 scopus 로고
    • Weylgruppe und Momentabbildung
    • F. Knop, Weylgruppe und Momentabbildung, Invent. Math. 99 (1990), 1-23.
    • (1990) Invent. Math. , vol.99 , pp. 1-23
    • Knop, F.1
  • 21
    • 0011175109 scopus 로고
    • How fat is a fat bundle?
    • E. Lerman, How fat is a fat bundle? Lett. Math. Phys. 15 (1988), 335-339.
    • (1988) Lett. Math. Phys. , vol.15 , pp. 335-339
    • Lerman, E.1
  • 22
    • 84972545646 scopus 로고
    • On the centralizer of invariant functions on a Hamiltonian G-space
    • E. Leerman, On the centralizer of invariant functions on a Hamiltonian G-space, J. Dilterential Geometry 30 (1989), 805-815.
    • (1989) J. Dilterential Geometry , vol.30 , pp. 805-815
    • Leerman, E.1
  • 24
    • 0000388063 scopus 로고
    • Examples of singular reduction
    • D. A. Salamon, ed., Cambridge: Cambridge University Press
    • E. Lerman, R. Montgomery and R. Sjamaar, "Examples of singular reduction" in Symplectic geometry, D. A. Salamon, ed., Cambridge: Cambridge University Press, 1993.
    • (1993) Symplectic Geometry
    • Lerman, E.1    Montgomery, R.2    Sjamaar, R.3
  • 25
    • 0001307473 scopus 로고
    • Modèle d'action hamiltonienne d'un groupe de Lie sur une variété symplectique
    • Università e Politechnico, Torino
    • C. M. Marle, Modèle d'action hamiltonienne d'un groupe de Lie sur une variété symplectique. Rendiconti del Seminario Matematico 43 (1985), 227-251, Università e Politechnico, Torino.
    • (1985) Rendiconti del Seminario Matematico , vol.43 , pp. 227-251
    • Marle, C.M.1
  • 26
    • 84968468460 scopus 로고    scopus 로고
    • Semidirect products and reduction in mechanics
    • J. E. Marsden, T. Ratiu and A. Weinstein, Semidirect products and reduction in mechanics. Trans, A.M.S. 281, 147-177.
    • Trans, A.M.S. , vol.281 , pp. 147-177
    • Marsden, J.E.1    Ratiu, T.2    Weinstein, A.3
  • 27
    • 0042805662 scopus 로고
    • Smooth functions invariant under the action of a compact Lie group
    • G. W. Schwarz, Smooth functions invariant under the action of a compact Lie group, Topology 14 (1975), 63-68.
    • (1975) Topology , vol.14 , pp. 63-68
    • Schwarz, G.W.1
  • 28
    • 0001941296 scopus 로고    scopus 로고
    • Convexity properties of the moment map re-examined
    • dg-ga/9408001, to appear
    • R. Sjamaar, Convexity properties of the moment map re-examined, dg-ga/9408001, Adv. Math., to appear.
    • Adv. Math.
    • Sjamaar, R.1
  • 29
    • 84968509319 scopus 로고
    • Hermitian Lie algebras and metaplectic representations 1
    • S. Sternberg and J. A. Wolf, Hermitian Lie algebras and metaplectic representations 1., Trans. A.M.S. 238 (1978), 1-43.
    • (1978) Trans. A.M.S. , vol.238 , pp. 1-43
    • Sternberg, S.1    Wolf, J.A.2
  • 30
    • 84972531238 scopus 로고
    • The local structure of Poisson manifolds
    • A. Weinstein, The local structure of Poisson manifolds, J. Differential Geometry 18 (1983), 523-557.
    • (1983) J. Differential Geometry , vol.18 , pp. 523-557
    • Weinstein, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.