An embedding of the Poincaré Lie algebra into an extension of the Lie field of SO0(1,4)

M. Havliček, P. Moylan

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

The * isomorphism between algebraic extensions of the Lie fields of SO0(1,4) and the Poincaré group are considered herein. It is shown that the principal series of unitary ray representations of SO 0(1,4) are associated, via the * isomorphism, with real mass, positive and negative energy representations of the Poincaré Lie algebra with arbitrary spin. Results on the most degenerate exceptional series of SO0(1,4) representations are also given.

Original languageEnglish (US)
Pages (from-to)5320-5332
Number of pages13
JournalJournal of Mathematical Physics
Volume34
Issue number11
DOIs
StatePublished - Jan 1 1993

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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