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This article is cited in 4 scientific papers (total in 4 papers)
Free Lie Rota–Baxter algebras
V. Yu. Gubarevab a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Abstract:
We construct a free Lie algebra with a Rota–Baxter operator.
Keywords:
Rota–Baxter algebra, free Lie algebra, Lyndon–Shirshov word, partially commutative Lie algebra.
Received: 08.12.2015
Citation:
V. Yu. Gubarev, “Free Lie Rota–Baxter algebras”, Sibirsk. Mat. Zh., 57:5 (2016), 1036–1047; Siberian Math. J., 57:5 (2016), 809–818
Linking options:
https://www.mathnet.ru/eng/smj2804 https://www.mathnet.ru/eng/smj/v57/i5/p1036
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