Graded Lie algebras of Cartan type in characteristic 2

preprint2015arXivOpen access

Abstract

We investigate the graded Lie algebras of Cartan type WW, SS and HH in characteristic 2 and determine their simple constituents and some exceptional isomorphisms between them. We also consider the graded Lie algebras of Cartan type KK in characteristic 2 and conjecture that their simple constituents are isomorphic to Lie algebras of type HH.

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