메뉴 건너뛰기




Volumn 29, Issue 2, 2019, Pages 413-455

The Pro-Lie group aspect of weakly complete algebras and weakly complete group Hopf algebras

Author keywords

Compact group; Group algebra; Hopf algebra; Measure algebra; Pro Lie group; Tannaka duality; Weakly complete algebra; Weakly complete vector space

Indexed keywords


EID: 85068895661     PISSN: 09495932     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (9)

References (23)
  • 1
    • 0003313986 scopus 로고    scopus 로고
    • Real algebraic geometry
    • Springer 1998, French original: Géometrie Algébrique Réelle 1987
    • J. Bochnak, M. Coste, M.-F. Roy: Real Algebraic Geometry, Ergebnisse der Mathematik 36, Springer 1998, 2010, French original: Géometrie Algébrique Réelle (1987).
    • (2010) Ergebnisse Der Mathematik , vol.36
    • Bochnak, J.1    Coste, M.2    Roy, M.-F.3
  • 2
    • 84989963763 scopus 로고    scopus 로고
    • Character groups of Hopf algebras as infinite dimensional Lie groups
    • G. Bogfiellmo, R. Dahmen, A. Schmeding: Character groups of Hopf algebras as infinite dimensional Lie groups, Ann. Inst. Fourier 66 (2016) 2101–2155.
    • (2016) Ann. Inst. Fourier , vol.66 , pp. 2101-2155
    • Bogfiellmo, G.1    Dahmen, R.2    Schmeding, A.3
  • 6
    • 85054263951 scopus 로고    scopus 로고
    • Diplomarbeit am Fachbereich Mathematik der Technischen Universität Darmstadt Nr
    • R. Dahmen: Tensor Products of Weakly Complete Topological Vector Spaces, Diplomarbeit am Fachbereich Mathematik der Technischen Universität Darmstadt Nr. 230 (2007) 66 pp.
    • (2007) Tensor Products of Weakly Complete Topological Vector Spaces , vol.230 , pp. 66
    • Dahmen, R.1
  • 10
    • 78049476811 scopus 로고    scopus 로고
    • Symmetry, representations, and invariants
    • Springer Nature, Cham
    • R. Goodman, N. R. Wallach: Symmetry, Representations, and Invariants, Graduate Texts in Mathematics 255, Springer Nature, Cham (1998).
    • (1998) Graduate Texts in Mathematics , vol.255
    • Goodman, R.1    Wallach, N.R.2
  • 14
    • 84870734640 scopus 로고    scopus 로고
    • Structure and Geometry of Lie groups
    • Springer, Berlin et al
    • J. Hilgert, K.-H. Neeb: Structure and Geometry of Lie groups, Monographs in Mathematics, Springer, Berlin et al. (2012).
    • (2012) Monographs in Mathematics
    • Hilgert, J.1    Neeb, K.-H.2
  • 18
    • 79955533822 scopus 로고    scopus 로고
    • The structure of almost connected pro-Lie groups
    • K. H. Hofmann, S. A. Morris: The Structure of Almost Connected Pro-Lie Groups, J. Lie Theory 21 (2011) 347–383.
    • (2011) J. Lie Theory , vol.21 , pp. 347-383
    • Hofmann, K.H.1    Morris, S.A.2
  • 20
    • 84981280551 scopus 로고    scopus 로고
    • Pro-Lie groups: A survey with open problems
    • K. H. Hofmann, S. A. Morris: Pro-Lie Groups: a survey with open problems, Axioms 4 (2015) 294–312.
    • (2015) Axioms , vol.4 , pp. 294-312
    • Hofmann, K.H.1    Morris, S.A.2
  • 21
    • 66049132842 scopus 로고    scopus 로고
    • Coassociative coalgebras
    • M. Hazewinkel ed, Elsevier, Amsterdam
    • W. Michaelis: Coassociative coalgebras, in: M. Hazewinkel (ed.), Handbook of Algebra 3, Elsevier, Amsterdam (2003) 587–788.
    • (2003) Handbook of Algebra , vol.3 , pp. 587-788
    • Michaelis, W.1
  • 22
    • 84934871929 scopus 로고
    • Semigroups with identity on a manifold
    • P. S. Mostert, A. Shields: Semigroups with identity on a manifold, Trans. Amer. Math. Soc. 91 (1959) 380–389.
    • (1959) Trans. Amer. Math. Soc. , vol.91 , pp. 380-389
    • Mostert, P.S.1    Shields, A.2
  • 23
    • 0002149396 scopus 로고
    • Über den Dualitätssatz der nichtkommutativen topologischen Gruppen
    • T.Tannaka: Über den Dualitätssatz der nichtkommutativen topologischen Gruppen, Tôhoku Math. J. 45 (1939) 1–12.
    • (1939) Tôhoku Math. J. , vol.45 , pp. 1-12
    • Tannaka, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.