2007/03/13 by Alice Fialowski, Fialowski, Alice, Friedrich Wagemann +1
Mathematics · #17B65 (primary) #58H15 (secondary) #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.math/0703383
openalex publication_date 2007/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Denote m0 the infinite dimensional N-graded Lie algebra defined by basis ei, i>= 1 and relations [e1,ei] = e_(i+1) for all i>=2. We compute in this article the bracket structure on H1(m0,m0), H2(m0,m0) and in relation to this, we establish that there are only finitely many true deformations of m0 in each nonpositive weight, by constructing them explicitely. It turns out that in weight 0 one gets exactly the other two filiform Lie algebras.