Varieties of subalgebras and endotrivial modules

2022/09/06 by Hao Chang, Chang, Hao, Rolf Farnsteiner +1
Mathematics · #17B50 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2209.02512

openalex publication_date 2022/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let (\mathfrakg,[p]) be a finite dimensional restricted Lie algebra over a perfect field \mathbbmk of characteristic p ≥ 3. By combining methods from recent work of Benson-Carlson \citeBC20 with those of \citeCF21,Fa17 we obtain a description of the endotrivial (\mathfrakg,[p])-modules in case \mathfrakg is supersolvable.

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