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Volumn 5, Issue , 2006, Pages 24-35

Fundamental problems in the theory of infinite-dimensional Lie groups

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EID: 33749029540     PISSN: 13125192     EISSN: 13145673     Source Type: Journal    
DOI: 10.7546/jgsp-5-2006-24-35     Document Type: Article
Times cited : (8)

References (31)
  • 1
    • 0002178646 scopus 로고
    • Analytic functions in topological vector spaces
    • Bochnak J. and Siciak J., Analytic Functions in Topological Vector Spaces, Studia Math. 39 (1971) 77-112.
    • (1971) Studia Math. , vol.39 , pp. 77-112
    • Bochnak, J.1    Siciak, J.2
  • 2
    • 0003088619 scopus 로고
    • Non-enlargible lie algebras
    • van Est W. and Korthagen Th., Non-Enlargible Lie Algebras, Indag. Math. 26(1964) 15-31.
    • (1964) Indag. Math. , vol.26 , pp. 15-31
    • Van Est, W.1    Korthagen, T.2
  • 3
    • 0036808583 scopus 로고    scopus 로고
    • Lie group structures on quotient groups and universal complexifications for infinite-dimensional lie groups
    • Glockner H., Lie Group Structures on Quotient Groups and Universal Complexifications for Infinite-Dimensional Lie Groups, J. Funct. Anal. 194 (2002) 347-409.
    • (2002) J. Funct. Anal. , vol.194 , pp. 347-409
    • Glockner, H.1
  • 4
    • 0036446267 scopus 로고    scopus 로고
    • Algebras whose groups of units are lie groups
    • Glockner H., Algebras Whose Groups of Units are Lie Groups, Studia Math. 153 (2002) 147-177.
    • (2002) Studia Math. , vol.153 , pp. 147-177
    • Glockner, H.1
  • 5
    • 85053263065 scopus 로고    scopus 로고
    • Glockner H., Patched Locally Convex Spaces, Almost Local Mappings, and Diffeomorphism Groups of Non-Compact Manifolds, Manuscript, 2002.
    • Glockner H., Patched Locally Convex Spaces, Almost Local Mappings, and Diffeomorphism Groups of Non-Compact Manifolds, Manuscript, 2002.
  • 6
    • 85053278570 scopus 로고    scopus 로고
    • Glockner H., Infinite-Dimensional Analysis, Lecture notes of a course held at Darmstadt University of Technology, Winter Semester 2002-2003.
    • Glockner H., Infinite-Dimensional Analysis, Lecture notes of a course held at Darmstadt University of Technology, Winter Semester 2002-2003.
  • 7
    • 1442303110 scopus 로고    scopus 로고
    • Direct limit lie groups and manifolds
    • Glockner H., Direct Limit Lie Groups and Manifolds, J. Math. Kyoto Univ. 43 (2003) 1-26.
    • (2003) J. Math. Kyoto Univ. , vol.43 , pp. 1-26
    • Glockner, H.1
  • 8
    • 27744545987 scopus 로고    scopus 로고
    • Holder continuous homomorphisms between infinite- dimensional lie groups are smooth
    • Glockner H., Holder Continuous Homomorphisms Between Infinite- Dimensional Lie Groups are Smooth, J. Funct. Anal. 228 (2005) 419-444.
    • (2005) J. Funct. Anal. , vol.228 , pp. 419-444
    • Glockner, H.1
  • 9
    • 21644431711 scopus 로고    scopus 로고
    • Conveniently holder homomorphisms are smooth in the convenient sense
    • Glockner H., Conveniently Holder Homomorphisms are Smooth in the Convenient Sense, Ann. Global Anal. Geom. 27 (2005) 227-255.
    • (2005) Ann. Global Anal. Geom. , vol.27 , pp. 227-255
    • Glockner, H.1
  • 10
    • 33748993020 scopus 로고    scopus 로고
    • Fundamentals of direct limit lie theory
    • Glockner H., Fundamentals of Direct Limit Lie Theory, Compositio Math. 141 (2005) 1551-1577.
    • (2005) Compositio Math. , vol.141 , pp. 1551-1577
    • Glockner, H.1
  • 11
    • 0042669975 scopus 로고    scopus 로고
    • Banach-lie quotients enlargibility, and universal complexifications
    • Glockner H. and Neeb K.-H., Banach-Lie Quotients, Enlargibility, and Universal Complexifications, J. Reine Angew. Math. 560 (2003) 1-28.
    • (2003) J. Reine Angew. Math. , vol.560 , pp. 1-28
    • Glockner, H.1    Neeb, K.-H.2
  • 12
    • 85053238099 scopus 로고    scopus 로고
    • Glockner H. and Neeb K.-H., Infinite-Dimensional Lie Groups, Vol.1, Basic Theory and Main Examples, book in preparation.
    • Glockner H. and Neeb K.-H., Infinite-Dimensional Lie Groups, Vol.1, Basic Theory and Main Examples, book in preparation.
  • 13
    • 85053259256 scopus 로고    scopus 로고
    • Glockner H. and Neeb K.-H., Infinite-Dimensional Lie Groups, Vol.11, Geometry and Topology, book in preparation.
    • Glockner H. and Neeb K.-H., Infinite-Dimensional Lie Groups, Vol.11, Geometry and Topology, book in preparation.
  • 14
    • 85053271772 scopus 로고    scopus 로고
    • Hofmann K. and Morris S., The Structure of Compact Groups, de Gruyter, Berlin, 1998.
    • Hofmann K. and Morris S., The Structure of Compact Groups, de Gruyter, Berlin, 1998.
  • 15
    • 85053285257 scopus 로고    scopus 로고
    • Keller H., Differential Calculus in Locally Convex Spaces, Springer, Berlin, 1974.
    • Keller H., Differential Calculus in Locally Convex Spaces, Springer, Berlin, 1974.
  • 17
    • 85053268435 scopus 로고    scopus 로고
    • Michor P., Manifolds of Differentiable Mappings, Shiva Publishing, Orpington, 1980.
    • Michor P., Manifolds of Differentiable Mappings, Shiva Publishing, Orpington, 1980.
  • 18
    • 0038351150 scopus 로고    scopus 로고
    • Description of infinite dimensional abelian regular lie groups
    • Michor P. and Teichmann J., Description of Infinite Dimensional Abelian Regular Lie Groups, J. Lie Theory 9 (1999) 487-489.
    • (1999) J. Lie Theory , vol.9 , pp. 487-489
    • Michor, P.1    Teichmann, J.2
  • 19
    • 85053263756 scopus 로고    scopus 로고
    • Milnor J., On Infinite-Dimensional Lie Groups, Preprint, Institute for Advanced Study, Princeton, 1982.
    • Milnor J., On Infinite-Dimensional Lie Groups, Preprint, Institute for Advanced Study, Princeton, 1982.
  • 20
    • 0001335921 scopus 로고
    • Remarks on infinite-dimensional lie groups
    • Les Houches Ec. d'Ete Phys. Theor. Sess. 40, B. DeWitt and R. Stora (Eds), North-Holland, Amsterdam
    • Milnor J., Remarks on Infinite-Dimensional Lie Groups, In: Relativite, Groupes et Topologie II, Les Houches Ec. d'Ete Phys. Theor. Sess. 40, B. DeWitt and R. Stora (Eds), North-Holland, Amsterdam, 1983, pp. 1007- 1057.
    • (1983) Relativite, Groupes et Topologie II , pp. 1007-1057
    • Milnor, J.1
  • 21
    • 85053284735 scopus 로고    scopus 로고
    • Montgomery D. and Zippin L., Topological Transformation Groups, Inter- science, New York, 1955.
    • Montgomery D. and Zippin L., Topological Transformation Groups, Inter- science, New York, 1955.
  • 23
    • 0038168011 scopus 로고    scopus 로고
    • Central extensions of infinite-dimensional lie groups
    • Neeb K.-H., Central Extensions of Infinite-Dimensional Lie groups, Ann. Inst. Fourier (Grenoble) 52 (2002) 1365-1442.
    • (2002) Ann. Inst. Fourier (Grenoble) , vol.52 , pp. 1365-1442
    • Neeb, K.-H.1
  • 24
    • 33645067555 scopus 로고    scopus 로고
    • Abelian extensions of infinite-dimensional lie groups
    • Neeb K.-H., Abelian Extensions of Infinite-Dimensional Lie Groups, Travaux Math. 15 (2004) 69-194.
    • (2004) Travaux Math. , vol.15 , pp. 69-194
    • Neeb, K.-H.1
  • 25
    • 85053261577 scopus 로고    scopus 로고
    • Neeb K.-H., Non-Abelian Extensions of Infinite-Dimensional Lie Groups, Preprint, arXiv:math.GR/0504295.
    • Neeb K.-H., Non-Abelian Extensions of Infinite-Dimensional Lie Groups, Preprint, arXiv:math.GR/0504295.
  • 26
    • 85053260678 scopus 로고    scopus 로고
    • Neeb K.-H., Infinite-Dimensional Lie Groups, Lecture Notes of Monastir Summer School, August 2005.
    • Neeb K.-H., Infinite-Dimensional Lie Groups, Lecture Notes of Monastir Summer School, August 2005.
  • 27
    • 85053247199 scopus 로고    scopus 로고
    • Omori H., Infinite-Dimensional Lie Groups, Amer. Math. Soc, Providence, 1997.
    • Omori H., Infinite-Dimensional Lie Groups, Amer. Math. Soc, Providence, 1997.
  • 28
    • 84972540546 scopus 로고
    • On Regular frechet- lie groups iv. definition and fundamental theorems
    • Omori H., Maeda Y, Yoshioka A. and Kobayashi O., On Regular Frechet- Lie Groups IV. Definition and Fundamental Theorems, Tokyo J. Math. 5 (1982)365-398.
    • (1982) Tokyo J. Math. , vol.5 , pp. 365-398
    • Omori, H.1    Maeda, Y.2    Yoshioka, A.3    Kobayashi, O.4
  • 29
    • 0031493528 scopus 로고    scopus 로고
    • Sur Vintegrabilite Des Sous-algebres De Lie En Dimension Infinie
    • Robart Th., Sur Vintegrabilite des sous-algebres de Lie en dimension infinie, Canad. J. Math. 49 (1997) 820-839.
    • (1997) Canad. J. Math. , vol.49 , pp. 820-839
    • Robart, T.1
  • 30
    • 33748999432 scopus 로고    scopus 로고
    • On milnor's regularity and the path-functor for the class of infinite dimensional lie algebras of CBH type
    • Robart Th., On Milnor's Regularity and the Path-Functor for the Class of Infinite Dimensional Lie Algebras ofCBH Type, Algebras Groups Geom. 21 (2004)367-386.
    • (2004) Algebras Groups Geom. , vol.21 , pp. 367-386
    • Robart, T.1
  • 31
    • 0442320612 scopus 로고    scopus 로고
    • Regularity of infinite-dimensional lie groups by metric space methods
    • Teichmann J. Regularity of Infinite-Dimensional Lie Groups by Metric Space Methods, Tokyo J. Math. 24 (2001) 39-58.
    • (2001) Tokyo J. Math. , vol.24 , pp. 39-58
    • Teichmann, J.1


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