Unitary highest weight representations of noncompact supergroups

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Abstract

The oscillator method for the construction of unitary highest (or lowest) weight representations of noncompact groups and supergroups is generalized. Within this generalization, the method yields unitary highest weight representations of all simple supergroups whose even subgroups are in the form of a direct product of a compact group with a simple noncompact group. The method is illustrated by studying in detail the unitary highest weight representations of the supergroup OSp (2n + 1/2m,R). The generalized supercoherent states associated with these unitary representations are also defined.

Original languageEnglish (US)
Pages (from-to)1275-1282
Number of pages8
JournalJournal of Mathematical Physics
Volume29
Issue number6
DOIs
StatePublished - Jan 1 1988

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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