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arxiv: 1611.04070 · v1 · pith:HQHMY3KSnew · submitted 2016-11-13 · 🧮 math.AG · math.RA· math.RT

The subalgebras of G2

classification 🧮 math.AG math.RAmath.RT
keywords subalgebrasalgebraautomorphismclassifycomplexconjugacyinnersimple
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We classify subalgebras of the complex simple Lie algebra of type G2 up to conjugacy (by an inner automorphism).

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  1. Decompositions of algebras and post-associative algebra structures

    math.RA 2019-06 unverdicted novelty 6.0

    Introduces post-associative algebras and proves non-existence of post-Lie structures on (reductive g, simple n) pairs and post-associative structures on (semisimple A, non-semisimple B) pairs from Rota-Baxter operators.