A new approach to mod 2 decompositions of BSU(2) and BSO(3)

2020/04/15 by Eva Belmont, Natàlia Castellana, Belmont, Eva +7
Mathematics · #55R35 (Primary) 20D20 55R40 (Secondary) #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2004.07306

openalex publication_date 2020/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Dwyer, Miller and Wilkerson proved that at the prime 2, the classifying spaces of SU(2) and SO(3) can be obtained as a homotopy pushout of the classifying spaces of certain subgroups. In this paper we show explicitly how these decompositions arise from the fusion systems of SU(2) and SO(3) over maximal discrete 2-toral subgroups.

Citations

• Fusion systems and localities

Related

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• Assigning a classifying space to a fusion system up to F-isomorphism
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