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Volumn 228, Issue 5, 2011, Pages 2623-2633

The topology of a semisimple Lie group is essentially unique

Author keywords

Continuity of homomorphisms; Lie group; Locally compact group

Indexed keywords


EID: 81155161031     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/j.aim.2011.07.019     Document Type: Article
Times cited : (10)

References (22)
  • 1
    • 0000198710 scopus 로고
    • Homomorphismes "abstraits" de groupes algébriques simples
    • MR0316587 (47#5134)
    • Borel A., Tits J. Homomorphismes "abstraits" de groupes algébriques simples. Ann. of Math. (2) 1973, 97:499-571. MR0316587 (47#5134).
    • (1973) Ann. of Math. (2) , vol.97 , pp. 499-571
    • Borel, A.1    Tits, J.2
  • 2
    • 34250606332 scopus 로고
    • Sur les représentations linéaires des groupes clos
    • MR1509418
    • Cartan E. Sur les représentations linéaires des groupes clos. Comment. Math. Helv. 1930, 2(1):269-283. MR1509418.
    • (1930) Comment. Math. Helv. , vol.2 , Issue.1 , pp. 269-283
    • Cartan, E.1
  • 3
    • 33646869328 scopus 로고
    • Die Topologie der Lieschen Gruppen als algebraisches Phänomen. I
    • MR0005740 (3,198a)
    • Freudenthal H. Die Topologie der Lieschen Gruppen als algebraisches Phänomen. I. Ann. of Math. (2) 1941, 42:1051-1074. MR0005740 (3,198a).
    • (1941) Ann. of Math. (2) , vol.42 , pp. 1051-1074
    • Freudenthal, H.1
  • 4
    • 84968512165 scopus 로고
    • On central topological groups
    • MR0209394 (35#292)
    • Grosser S., Moskowitz M. On central topological groups. Trans. Amer. Math. Soc. 1967, 127:317-340. MR0209394 (35#292).
    • (1967) Trans. Amer. Math. Soc. , vol.127 , pp. 317-340
    • Grosser, S.1    Moskowitz, M.2
  • 5
    • 0037786604 scopus 로고    scopus 로고
    • corrected reprint of the 1978 original, Amer. Math. Soc., Providence, RI, MR1834454 (2002b:53081)
    • Helgason S. Differential Geometry, Lie Groups, and Symmetric Spaces 2001, corrected reprint of the 1978 original, Amer. Math. Soc., Providence, RI, MR1834454 (2002b:53081).
    • (2001) Differential Geometry, Lie Groups, and Symmetric Spaces
    • Helgason, S.1
  • 8
    • 0004293970 scopus 로고
    • Dover, New York, MR0559927 (80k:17001)
    • Jacobson N. Lie Algebras 1979, Dover, New York, MR0559927 (80k:17001).
    • (1979) Lie Algebras
    • Jacobson, N.1
  • 9
    • 49549153324 scopus 로고
    • The topology of compact simple Lie groups is essentially unique
    • MR0357677 (50#10145)
    • Kallman R.R. The topology of compact simple Lie groups is essentially unique. Adv. Math. 1974, 12:416-417. MR0357677 (50#10145).
    • (1974) Adv. Math. , vol.12 , pp. 416-417
    • Kallman, R.R.1
  • 10
    • 0003798201 scopus 로고
    • Springer, New York, MR0370454 (51#6681)
    • Kelley J.L. General Topology 1975, Springer, New York, MR0370454 (51#6681).
    • (1975) General Topology
    • Kelley, J.L.1
  • 11
    • 84968511047 scopus 로고
    • Measurable homomorphisms of locally compact groups
    • MR0948154 (89k:22005), correction
    • Kleppner A. Measurable homomorphisms of locally compact groups. Proc. Amer. Math. Soc.. Proc. Amer. Math. Soc. 1991, 111(4):1199-1200. MR0948154 (89k:22005), correction.
    • (1991) Proc. Amer. Math. Soc.. Proc. Amer. Math. Soc. , vol.111 , Issue.4 , pp. 1199-1200
    • Kleppner, A.1
  • 12
    • 0003961832 scopus 로고    scopus 로고
    • Birkhäuser Boston, Boston, MA, MR1920389 (2003c:22001)
    • Knapp A.W. Lie Groups Beyond an Introduction 2002, Birkhäuser Boston, Boston, MA, MR1920389 (2003c:22001). second edition.
    • (2002) Lie Groups Beyond an Introduction
    • Knapp, A.W.1
  • 13
    • 84972541015 scopus 로고
    • On the automorphisms of a real semi-simple Lie algebra
    • MR0051829 (14,531c)
    • Murakami S. On the automorphisms of a real semi-simple Lie algebra. J. Math. Soc. Japan 1952, 4:103-133. MR0051829 (14,531c).
    • (1952) J. Math. Soc. Japan , vol.4 , pp. 103-133
    • Murakami, S.1
  • 14
    • 23044522079 scopus 로고    scopus 로고
    • Simple algebraic and semialgebraic groups over real closed fields
    • (electronic), MR1779482 (2001i:03080)
    • Peterzil Y., Pillay A., Starchenko S. Simple algebraic and semialgebraic groups over real closed fields. Trans. Amer. Math. Soc. 2000, 352(10):4421-4450. (electronic), MR1779482 (2001i:03080).
    • (2000) Trans. Amer. Math. Soc. , vol.352 , Issue.10 , pp. 4421-4450
    • Peterzil, Y.1    Pillay, A.2    Starchenko, S.3
  • 15
    • 0003340592 scopus 로고
    • Compact Projective Planes
    • de Gruyter, Berlin, MR1384300 (97b:51009)
    • Salzmann H., et al. Compact Projective Planes. de Gruyter Exp. Math. 1995, vol. 21. de Gruyter, Berlin, MR1384300 (97b:51009).
    • (1995) de Gruyter Exp. Math. , vol.21
    • Salzmann, H.1
  • 16
    • 55349129484 scopus 로고    scopus 로고
    • Cambridge Univ. Press, Cambridge, MR2357231 (2008m:12001)
    • Salzmann H., et al. The Classical Fields 2007, Cambridge Univ. Press, Cambridge, MR2357231 (2008m:12001).
    • (2007) The Classical Fields
    • Salzmann, H.1
  • 17
    • 45849122569 scopus 로고    scopus 로고
    • European Mathematical Society (EMS), Zürich, MR2226087 (2007d:22001)
    • Stroppel M. Locally Compact Groups 2006, European Mathematical Society (EMS), Zürich, MR2226087 (2007d:22001).
    • (2006) Locally Compact Groups
    • Stroppel, M.1
  • 18
    • 0000211726 scopus 로고
    • Classification of algebraic semisimple groups
    • Amer. Math. Soc., Providence, RI, MR0224710 (37#309)
    • Tits J. Classification of algebraic semisimple groups. Algebraic Groups and Discontinuous Subgroups, Proc. Sympos. Pure Math. 1966, 33-62. Amer. Math. Soc., Providence, RI, MR0224710 (37#309).
    • (1966) Algebraic Groups and Discontinuous Subgroups, Proc. Sympos. Pure Math. , pp. 33-62
    • Tits, J.1
  • 19
    • 0000805025 scopus 로고
    • Stetigkeitssätze für halbeinfache Liesche Gruppen
    • MR1545369
    • van der Waerden B.L. Stetigkeitssätze für halbeinfache Liesche Gruppen. Math. Z. 1933, 36(1):780-786. MR1545369.
    • (1933) Math. Z. , vol.36 , Issue.1 , pp. 780-786
    • van der Waerden, B.L.1
  • 21
    • 0004203066 scopus 로고
    • North-Holland, Amsterdam, MR1002951 (90i:12012)
    • Warner S. Topological Fields 1989, North-Holland, Amsterdam, MR1002951 (90i:12012).
    • (1989) Topological Fields
    • Warner, S.1
  • 22
    • 0003771032 scopus 로고
    • reprint of the second (1973) edition, Springer, Berlin, MR1344916 (96c:11002)
    • Weil A. Basic Number Theory 1995, reprint of the second (1973) edition, Springer, Berlin, MR1344916 (96c:11002).
    • (1995) Basic Number Theory
    • Weil, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.