The contraction of S2p-1 to Hp-1

A. H. Dooley; S. K. Gupta

doi:10.1007/s006050050061

The contraction of S^2p-1 to H^p-1

A. H. Dooley^*, S. K. Gupta

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

A contraction of the sphere S^{2p 1}, considered as the homogeneous space U(p)/U(p - 1), to the Heisenherg group H^p-1 is defined. The infinite dimensional irreducible unitary representations of Heisenberg group H^p-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.

Original language	English
Pages (from-to)	237-253
Number of pages	17
Journal	Monatshefte fur Mathematik
Volume	128
Issue number	3
DOIs	https://doi.org/10.1007/s006050050061
Publication status	Published - 1999
Externally published	Yes

Keywords

Contraction
Heisenberg group
Matrix coefficients
Sphere
Unitary groups

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/s006050050061

Cite this

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KW - Heisenberg group

KW - Matrix coefficients

KW - Sphere

KW - Unitary groups

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