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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2016 Volume 57, Number 5, Pages 1036–1047 (Mi smj2804)
This article is cited 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.

UDC: 512.579

Received: 08.12.2015

DOI: 10.17377/smzh.2016.57.509


 English version: Siberian Mathematical Journal, 2016, 57:5, 809–818

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© Steklov Math. Inst. of RAS, 2024