2021/11/28 by Ramón Flores, Flores, Ramón
Mathematics · #20C15 #20F65 #55N91 #Algebra over a field #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Biology #Computer science #FOS: Mathematics #Genetics #Geometric and Algebraic Topology #Group Theory (math.GR) #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Mathematics #Pure mathematics #Representation (politics) #Singular homology #Wallpaper #math.AT #math.GR #math.KT #msc:20C15 #msc:20F65 #msc:55N91
paper · pdf · doi:10.48550/arxiv.2111.14245
33 pages, 1 figure
arxiv created 2021/11/28 · openalex publication_date 2021/11/28 · arxiv updated 2021/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we compute the Bredon homology of wallpaper groups with respect to the family of finite groups and with coefficients in the complex representation ring. We provide explicit bases of the homology groups in terms of irreducible characters of the representation rings of the stabilizers.