67 citations · 246 across the 43 of their papers we have counts for
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Conformal Yang-Baxter equation on
Vsevolod Gubarev, Roman Kozlov
In 2008, J. Liberati defined what is a conformal Lie bialgebra and introduced the conformal classical Yang-Baxter equation (CCYBE). An -invariant solution to the weak version of…
Groebner-Shirshov basis of the universal enveloping Rota-Baxter algebra of a Lie algebra
Vsevolod Gubarev, Pavel Kolesnikov
Consider the class RBLie of Lie algebras equipped with a Rota---Baxter operator. Then the forgetful functor RBLie --> Lie has a left adjoint one denoted by . We prov…
Operads of decorated trees and their duals
V. Yu. Gubarev, P. S. Kolesnikov
This is an extended version of a talk presented by the second author on the Third Mile High Conference on Nonassociative Mathematics (August 2013, Denver, CO). The purpose of this…
On embedding of dendriform algebras into Rota---Baxter algebras
V. Yu. Gubarev, P. S. Kolesnikov
Following a recent work by C. Bai, O. Bellier, L. Guo, and X. Ni (arXiv:1106.6080) we define what is a dendriform di- or trialgebra in an arbitrary variety Var of algebras (associa…