The contraction of S2p-1 to Hp-1

A. H. Dooley, S. K. Gupta

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)237-253
Number of pages17
JournalMonatshefte fur Mathematik
Volume128
Issue number3
Publication statusPublished - 1999

Keywords

  • Contraction
  • Heisenberg group
  • Matrix coefficients
  • Sphere
  • Unitary groups

ASJC Scopus subject areas

  • Mathematics(all)

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