A counterexample to a Proposition of Feldvoss-Wagemann and Burde-Wagemann

2019/08/30 by Teimuraz Pirashvili, Pirashvili, Teimuraz
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)

paper · pdf · doi:10.48550/arxiv.1908.11596

openalex publication_date 2019/08/30 · openalex created_date 2019/09/05 · openalex updated_date 2026/07/28

Abstract

Our (weak) conjecture claims that a finite dimensional Lie algebra \bf g over the field of complex numbers is semi-simple iff the Leibniz homology vanishes in positive dimensions HL_i(\bf g)=0, i>0. We will indicate a mistake in the recent proof of this conjecture due to Burde and Wagemann.

Citations

• Universal enveloping algebras of Leibniz algebras and (co)homology

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