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

R. W. Haase, Neil F Johnson

Research output: Contribution to journalArticle

5 Citations (Scopus)

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 - 1993
Externally publishedYes

Fingerprint

Schur Functions
Symplectic Group
Series Representation
Imply
Collective Behavior
Bilinear form
Infinite series
Interaction
interactions
Character

ASJC Scopus subject areas

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

Cite this

Schur function analysis of the unitary discrete series representations of the non-compact symplectic group. / Haase, R. W.; Johnson, Neil F.

In: Journal of Physics A: Mathematical and General, Vol. 26, No. 7, 022, 1993, p. 1663-1672.

Research output: Contribution to journalArticle

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