Classification of some simple graded pre-Lie algebras of growth one

2002/09/10 by Frederic Chapoton, Frédéric Chapoton, Chapoton, Frederic
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.RA #msc:17B66 #msc:17D25

paper · pdf · doi:10.48550/arxiv.math/0209105

8 pages

arxiv created 2002/09/10 · arxiv updated 2009/11/30

Abstract

We classify a class of infinite-dimensional simple graded pre-Lie algebras on the graded vector space underlying the algebra of Laurent polynomials, with a specific form for the product.

Related

• Structure of a new class of non-graded infinite dimensional simple Lie algebras
• Growth of finitely generated simple Lie algebras
• Infinite-dimensional pre-Lie bialgebras via affinization of pre-Novikov bialgebras
• Graded Lie algebras and regular prehomogeneous vector spaces with one-dimensional scalar multiplication
• Lie algebras whose derivation algebras are simple