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Volumn 26, Issue 3, 2016, Pages 683-690

Commutators of small elements in compact semisimple groups and lie Algebras

Author keywords

Commutator; Open map; Semisimple compact group

Indexed keywords


EID: 84983271815     PISSN: 09495932     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (12)

References (16)
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    • Berarducci, A.1    Peterzil, Y.2    Pillay, A.3
  • 2
    • 0013097653 scopus 로고
    • On free subgroups of semisimple groups
    • Borel, A., On free subgroups of semisimple groups. Enseign. Math. (2) 29 (1983), 151-164.
    • (1983) Enseign. Math. (2) , vol.29 , pp. 151-164
    • Borel, A.1
  • 3
    • 0142005699 scopus 로고    scopus 로고
    • Groupes et algèbres des Lie Chapitres 4 5 et 6
    • Hermann 1968, Masson 1981
    • Bourbaki, N., "Groupes et algèbres des Lie, Chapitres 4, 5 et 6, " Éléments de Mathématique, Hermann 1968, Masson 1981.
    • Éléments de Mathématique
    • Bourbaki, N.1
  • 4
    • 79953099542 scopus 로고
    • On commutators in a simple Lie algebra
    • Brown, G., On commutators in a simple Lie algebra, Proc. Amer. Math. Soc. 14 (1963), 763-767.
    • (1963) Proc. Amer. Math. Soc. , vol.14 , pp. 763-767
    • Brown, G.1
  • 5
    • 0038960331 scopus 로고
    • A counterexample to the closed graph theorem for bilinear maps
    • Cohen, P. J., A counterexample to the closed graph theorem for bilinear maps, J. Funct. Anal. 16 (1974), 235-239.
    • (1974) J. Funct. Anal. , vol.16 , pp. 235-239
    • Cohen, P.J.1
  • 6
    • 84972557790 scopus 로고
    • On commutators in real semisimple Lie groups
    • Dokovic, D. Ž., On commutators in real semisimple Lie groups, Osaka J. Math. 23 (1986), 223-228.
    • (1986) Osaka J. Math. , vol.23 , pp. 223-228
    • Dokovic, D.Ž.1
  • 7
    • 84972537209 scopus 로고
    • A theorem on compact semi-simple groups
    • Gotô, M., A theorem on compact semi-simple groups, J. Math. Soc. Japan 1 (1949), 270-272.
    • (1949) J. Math. Soc. Japan , vol.1 , pp. 270-272
    • Gotô, M.1
  • 8
    • 0004020473 scopus 로고    scopus 로고
    • 3rd Edition, De Gruyter Studies in Mathematics 25, De Gruyter, Berlin
    • Hofmann, K. H., and S. A. Morris, "The Structure of Compact Groups, " 3rd Edition, De Gruyter Studies in Mathematics 25, De Gruyter, Berlin, 2013.
    • (2013) The Structure of Compact Groups
    • Hofmann, K.H.1    Morris, S.A.2
  • 10
    • 84966248326 scopus 로고
    • An elementary counterexample to the open mapping principle for bilinear maps
    • Horowitz, C., An elementary counterexample to the open mapping principle for bilinear maps, Proc. Amer. Math. Soc. 53 (1975), 293-294.
    • (1975) Proc. Amer. Math. Soc. , vol.53 , pp. 293-294
    • Horowitz, C.1
  • 12
    • 0003961832 scopus 로고    scopus 로고
    • 2nd Edition, Progress in Mathematics 140, Birkhäuser, Boston etc.
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    • Knapp, A.W.1
  • 14
    • 84966248220 scopus 로고
    • Commutators in semi-simple algebraic groups
    • Ree, R., Commutators in semi-simple algebraic groups, Proc. Amer. Math. Soc. 15 (1964), 457-460.
    • (1964) Proc. Amer. Math. Soc. , vol.15 , pp. 457-460
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  • 15
    • 0013247456 scopus 로고
    • Espaces symétriques et méthode de Kashiwara-Vergne
    • Rouvière, F., Espaces symétriques et méthode de Kashiwara-Vergne, Ann. Sci. École Norm. Sup. 19 (1986), 553-581.
    • (1986) Ann. Sci. École Norm. Sup. , vol.19 , pp. 553-581
    • Rouvière, F.1
  • 16
    • 84968509398 scopus 로고
    • Commutators in the special and general linear groups
    • Thompson, R. C., Commutators in the special and general linear groups, Trans. Amer. Math. Soc. 101 (1961), 16-33.
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    • Thompson, R.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.