Topology on the unitary dual of completely solvable Lie groups
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AbstractIt was one of great successes of Kirillov's orbit method to see that the unitary dual of an exponential Lie group is in bijective correspondence with the orbit space associated with the linear dual of the Lie algebra of the group in question. To show that this correspondence is an homeomorphism turned out to be unexpectedly difficult. Only in 1994 H. Leptin and J. Ludwig gave a proof using the notion of variable groups. In this article their proof in the case of completely solvable Lie group is reorganized, some “philosophy” and some new arguments are added. The purpose is to contribute to a better understanding of this proof.
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2008 ◽
Vol 78
(2)
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pp. 301-316
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1998 ◽
Vol 41
(3)
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pp. 368-373
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1985 ◽
Vol 38
(1)
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pp. 55-64
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2016 ◽
Vol 08
(02)
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pp. 273-285
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