Immersions of Lie groups

Morikuni GOTO

doi:10.2969/jmsj/03240727

Morikuni GOTO

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JOURNAL FREE ACCESS

1980 Volume 32 Issue 4 Pages 727-749

DOI https://doi.org/10.2969/jmsj/03240727

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Published: 1980 Received: February 05, 1979 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: SUBTITLE Details: Wrong : Dedicated to the late Hsien-Chung Wang

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Right : [1] C. Chevalley, Theory of Lie groups I, Princeton University Press, 1946.
[2] D. Z. Djokovic, Three notes on real analytic groups, Tohoku Math. J., 28 (1976), 381-387.
[3] A. M. Gleason and R. S. Palais, On a class of transformation groups, Amer. J. Math., 79 (1957), 631-648.
[4] M. Goto, Faithful representations of Lie groups I, Math. Japonica, 1 (1948), 107-119.
[5] M. Goto, Dense imbeddings of locally compact connected groups, Ann. of Math., 61 (1955), 154-169.
[6] M. Goto, Absolutely closed Lie groups, Math. Ann., 204 (1973), 337-341.
[7] M. Goto, Analytic subgroups of GL (n, R), Tohoku Math. J., 25 (1973), 197-199.
[8] M. Goto and F. Grosshans, Semisimple Lie algebras, Marcel Dekker, 1978.
[9] M. Goto and N. Kimura, Semigroups of endomorphisms of a locally compact group, Trans. Amer. Math. Soc., 87 (1958), 359-371.
[10] G. Hochschild, The automorphism group of a Lie group, Trans. Amer. Math. Soc., 72 (1952), 209-216.
[11] G. Hochschild, The structure of Lie groups, Holden-day Inc., 1965.
[12] K. Iwasawa, On some types of topological groups, Ann. of Math., 50 (1949), 507-558.
[13] D. H. Lee and T. S. Wu, On CA topological groups, Duke Math. J., 37 (1970), 515-521.
[14] A. Malcev, On the theory of the Lie groups in the large, Rec. Math., 16 (1945), 163-190.
[15] D. Montgomery and L. Zippin, Topological transformation groups, Interscience, New York, 1955.
[16] H. Omori, Homomorphic images of Lie groups, J. Math. Soc. Japan, 18 (1966), 97-117.
[17] W. T. van Est, Dense imbeddings of Lie groups, Indag. Math., 13 (1951), 321-328.
[18] H. Yamabe, On the conjecture of Iwasawa and Gleason, Ann. of Math., 58 (1953), 48-54.
[19] K. Yosida, A problem concerning the second fundamental theorem of Lie, Proc. Imp. Acad. Japan, 13 (1937), 152-155.
[20] K. Yosida, A theorem concerning the semi-simple Lie groups, Tohoku Math. J., 43 (1937), 81-84.
[21] D. Zerling, Some theorems on (CA) analytic groups; Trans. Amer. Math. Soc., 205 (1975), 181-192.

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