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arxiv: 1510.02289 · v1 · pith:7OJO3G76new · submitted 2015-10-08 · 🧮 math.RA

Graded Lie algebras of Cartan type in characteristic 2

classification 🧮 math.RA
keywords algebrastypecartancharacteristicgradedconstituentssimpleconjecture
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We investigate the graded Lie algebras of Cartan type $W$, $S$ and $H$ in characteristic 2 and determine their simple constituents and some exceptional isomorphisms between them. We also consider the graded Lie algebras of Cartan type $K$ in characteristic 2 and conjecture that their simple constituents are isomorphic to Lie algebras of type $H$.

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