Schur function analysis of the unitary discrete series representations of the non-compact symplectic group

R. W. Haase, N. F. Johnson

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

The authors develop and analyse certain character reductions for the infinite-dimensional unitary discrete series representations of the non-compact symplectic group Sp(2n,R). The group reductions considered are Sp(2k,R) contains/implies Sp(2,R)*O(k) and the more general Sp(2nk,R) contains/implies Sp(2n,R)*O(k). They use Schur function techniques to derive succinct formulae involving certain infinite series of Schur functions. The results are relevant to the study of many-body systems with interactions of bilinear form and to the description of various quantum phenomena including collective behaviour.

Original languageEnglish (US)
Article number022
Pages (from-to)1663-1672
Number of pages10
JournalJournal of Physics A: Mathematical and General
Volume26
Issue number7
DOIs
StatePublished - Dec 1 1993

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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