2013/12/28 by Joshua Kincaid, Tevian Dray · 9 citations
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebra representation #Algebraic and Geometric Analysis #Algebraic structures and combinatorial models #Cellular algebra #Clifford algebra #Division (mathematics) #Filtered algebra #Group (periodic table) #Isomorphism (crystallography) #Matrix algebra #math.RA #msc:22E46 #msc:22E70 #msc:81R05
paper · pdf · doi:10.1142/s0217732314501284
published in Modern Physics Letters A 29(25), 1450128 (World Scientific) · 13 pages
arxiv created 2013/12/28 · openalex publication_date 2014/08/07 · arxiv updated 2014/08/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Representations of SO (4, 2) are constructed using 4×4 and 2×2 matrices with elements in ℍ' ⊗ ℂ and the known isomorphism between the conformal group and SO (4, 2) is written explicitly in terms of the 4×4 representation. The Clifford algebra structure of SO (4, 2) is briefly discussed in this language, as is its relationship to other groups of physical interest.