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- W2596565554 abstract "Let $G_n=U(n)ltimes {mathbb H}_n $ be the semi-direct product of the unitary group acting by automorphisms on the Heisenberg group ${mathbb H}_n$. According to Lipsman, the unitary dual $widehat {G_n} $ of $G_n $ is in one to one correspondence with the space of admissible coadjoint orbits $mathfrak g_n^ddagger /G_n $ of $G_n $. In this paper, we determine the topology of the space $mathfrak g_n^ddagger /G_n $ and we show that the correspondence with $widehat {G_n} $ is a homeomorphism." @default.
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- W2596565554 date "2017-02-13" @default.
- W2596565554 modified "2023-09-27" @default.
- W2596565554 title "On the dual topology of the groups U(n)xH_n" @default.
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