A contraction of the sphere S2p 1, considered as the homogeneous space U(p)/U(p - 1), to the Heisenherg group Hp-1 is defined. The infinite dimensional irreducible unitary representations of Heisenberg group Hp-1 are then shown to be the limits of the irreducible representations of U(p) which are class-1 with respect to U(p - 1). Our results generalise the earlier results of Fulvio Ricci.
|Number of pages||17|
|Journal||Monatshefte fur Mathematik|
|Publication status||Published - 1999|
- Heisenberg group
- Matrix coefficients
- Unitary groups
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