English

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

K-Theory and Homology 2019-09-02 v1

Abstract

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

Keywords

Cite

@article{arxiv.1908.11596,
  title  = {A counterexample to a Proposition of Feldvoss-Wagemann and Burde-Wagemann},
  author = {Teimuraz Pirashvili},
  journal= {arXiv preprint arXiv:1908.11596},
  year   = {2019}
}