2024/01/29 by Meysam Hassandoust, Hassandoust, Meysam
Mathematics · #Advanced Algebra and Geometry #FOS: Mathematics #FOS: Physical sciences #Geometric and Algebraic Topology #Group Theory (math.GR) #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2401.16145
openalex publication_date 2024/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this review, we have reached from the most basic definitions in the theory of groups, group structures, etc. to representation theory and irreducible representations of the Poincar'e group. Also, we tried to get a more comprehensible understanding of group theory by presenting examples from the nature around us to examples in mathematics and physics and using them to examine more important groups in physics such as the Lorentz group and Poincar'e group and representations It is achieved in the physical fields that are used in the quantum field theory.