1994/08/30 by A. O. Barut, J. R. Zeni, J R Zeni +2 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebra over a field #Dirac (video compression format) #Exponential function #Exponential map (Riemannian geometry) #Finite Group Theory Research #Generator (circuit theory) #Geometry #Group (periodic table) #Lie algebra #Lie group #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Orthogonal group #Physics #Pure mathematics #Quantum mechanics #Special unitary group #Unitary group #Unitary state #hep-th #math.QA
paper · pdf · doi:10.1088/0305-4470/27/20/017
published as J.Phys. A27 (1994) 6799-6806 · 10 pages
arxiv created 1994/08/30 · openalex publication_date 1994/10/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this article, we extend our previous results for the orthogonal group SO(2,4) to its homomorphic group SU(2,2). Here we present a closed finite formula for the exponential of a 4*4 traceless matrix, which can be viewed as the generator (Lie algebra elements) of the SL(4,C) group. We apply this result to the SU(2,2) group, the lie algebra of which can be represented by Dirac matrices, and discuss how the exponential map for SU(2,2) can be written by means of Dirac matrices.