Published: 1978 Received: May 23, 1977Available on J-STAGE: October 20, 2006Accepted: -
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Date of correction: October 20, 2006Reason for correction: -Correction: CITATIONDetails: Right : [1] L. Auslander and B. Kostant, Polarization and unitary representations of solvable Lie groups, Invent. Math., 14 (1971), 255-354. [2] J. Dixmier, Sur la représentation réguliére d'un groupe localement compact connexe, Ann. Sci. École Norm. Sup., 2 (1969), 423-436. [3] M. Goto, Faithful representations of Lie groups II, Nagoya Math. J., 1 (1950), 91-107. [4] M. Goto, On an arcwise connected subgroup of a Lie group, Proc. Amer. Math. Soc., 30 (1969), 157-162. [5] M. Goto, Orbits of one-parameter groups III (Lie group case), J. Math. Soc. Japan, 23 (1971), 95-102. [6] M. Goto, Products of two semi-algebraic groups, J. Math. Soc. Japan, 25 (1973), 71-74. [7] M. Goto, Semi-algebraic groups and the local closure of an orbit in a homogeneous space, forthcoming in Trans. Amer. Math. Soc. [8] K. Iwasawa, On some types of topological groups, Ann. of Math., 50 (1949), 507-558. [9] L. Pukanszky, Characters of algebraic solvable groups, J. Functional Analysis, 3 (1969), 435-494. [10] O. Takenouchi, Sur les facteurs représentations d'un groupe de Lie resoluble de type E, Math. J. Okayama Univ., 7 (1957), 151-161.
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