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.
Gubarev: Rota–Baxter operators on a sum of fields
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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.