Gröbner–Shirshov bases for Lie Ω-algebras and free Rota–Baxter Lie algebras
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DOI: 10.1142/s0219498817501900
Abstract: We generalize the Lyndon–Shirshov words to the Lyndon–Shirshov Ω-words on a set X and prove that the set of all the nonassociative Lyndon–Shirshov Ω-words forms a linear basis of the free Lie Ω-algebra on the… read more here.
Keywords: shirshov bases; lie; lie algebras; rota baxter ... See more keywords