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.
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abstract
We classify subalgebras of the complex simple Lie algebra of type G2 up to conjugacy (by an inner automorphism).
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Decompositions of algebras and post-associative algebra structures
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.