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Iusa, Valentina; Mattarei, Sandro; Scarbolo, Claudio
Journal of algebra, 12/2021, Letnik: 588Journal Article
The algebras of the title are infinite-dimensional graded Lie algebras L=⨁i=1∞Li, over a field of positive characteristic p, which are generated by an element of degree 1 and an element of degree p, and satisfy Li,L1=Li+1 for i≥p. In case p=2 such algebras were classified by Caranti and Vaughan-Lee in 2003. We announce an extension of that classification to arbitrary prime characteristic, and prove several major steps in its proof.
