Representations and cohomologies of the alternating group of degree 4

2024/04/13 by Yuriy Drozd, Drozd, Yuriy, Andriana I. Plakosh +1
Mathematics · #16G30 #16G70 (Secondary) #20C10 (Primary) 20C11 #20J15 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2404.09070

openalex publication_date 2024/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe integral representations of the alternating group A₄, in particular, the Auslander-Reiten quiver of its 2-adic representations. Using these results we calculate Tate cohomologies of all A₄-lattices.

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