A class of nilpotent Lie algebras whose center acts nontrivially in cohomology

2019/04/17 by Grant Cairns, Cairns, Grant, Barry Jessup +3
Mathematics · #17B30 (Primary) #17B56 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1904.08237

openalex publication_date 2019/04/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the central representation is nontrivial for all one-dimensional central extensions of nilpotent Lie algebras possessing a codimension one abelian ideal.

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