The projective unitary irreducible representations of the Galilei group in 1+2 dimensions

1993/12/07 by D. R. Grigore · 2 citations
Mathematics · Physics and Astronomy · #(g,K)-module #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebra over a field #Classical group #Collineation #Finite Group Theory Research #Fundamental representation #Group (periodic table) #Group theory #Induced representation #Irreducible representation #Lie algebra #Lie group #Mathematics #Physics #Projective linear group #Projective space #Projective test #Projective unitary group #Pure mathematics #Quantum mechanics #Representation theory of SU #Representation theory of the Lorentz group #Unitary group #Unitary representation #Unitary state #hep-th

paper · pdf · doi:10.1063/1.531402

published as J.Math.Phys. 37 (1996) 460-473 · 15 pages, LATEX, preprint IFA-FT-391-1993, December

arxiv created 1993/12/07 · openalex publication_date 1996/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We give an elementary analysis of the multiplicator group of the Galilei group in 1+2 dimensions 𝒢+↑. For a nontrivial multiplicator we give a list of all the corresponding projective unitary irreducible representations of 𝒢+↑.

Citations

• Irreducible Unitary Representations of the Lorentz Group

Cited by

• Anyon spin and the exotic central extension of the planar Galilei group
• Galilei group with multiple central extension, vorticity, and entropy generation: Exotic fluid in 3+1 dimensions