Results 1 to 10 of about 161 (126)

Cohomology and Deformations of Relative Rota–Baxter Operators on Lie-Yamaguti Algebras

Mathematics
In this paper, we establish the cohomology of relative Rota–Baxter operators on Lie-Yamaguti algebras via the Yamaguti cohomology. Then, we use this type of cohomology to characterize deformations of relative Rota–Baxter operators on Lie-Yamaguti ...
Jia Zhao, Yu Qiao
doaj   +5 more sources

UEG Week 2023 Poster Presentations [PDF]

United European Gastroenterol J, 2023
United European Gastroenterology Journal, Volume 11, Issue S8, Page 535-1498, October 2023.
europepmc   +2 more sources

UEG Week 2021 Poster Presentations [PDF]

United European Gastroenterol J, 2021
United European Gastroenterology Journal, Volume 9, Issue S8, Page 262-907, October 2021.
europepmc   +2 more sources

Lie theory and cohomology of relative Rota–Baxter operators

Journal of the London Mathematical Society
AbstractIn this paper, we establish a local Lie theory for relative Rota–Baxter operators of weight 1. First we recall the category of relative Rota–Baxter operators of weight 1 on Lie algebras and construct a cohomology theory for them. We use the second cohomology group to study infinitesimal deformations of relative Rota–Baxter operators and ...
Jiang, Jun, Sheng, Yunhe, Zhu, Chenchang
openaire   +5 more sources

Some properties of relative Rota–Baxter operators on groups

Communications in Algebra
We find connection between relative Rota--Baxter operators and usual Rota--Baxter operators. We prove that any relative Rota--Baxter operator on a group $H$ with respect to $(G, Ψ)$ defines a Rota--Baxter operator on the semi-direct product $H\rtimes_Ψ G$.
Tatyana Kozlovskaya, V G Bardakov
exaly   +4 more sources

Relative Rota–Baxter Operators on Groups and Hopf Algebras

Bulletin of the Iranian Mathematical Society
M. Goncharov introduced and studied a Rota--Baxter operator on a cocommutative Hopf algebra. In the present paper we define relative Rota--Baxter operators on an arbitrary Hopf algebra. A particular case of this definition is Goncharov's operator. On a Hopf algebra with a relative Rota--Baxter operator we define new associative operation and construct ...
Valeriy G Bardakov, Bardakov Valeriy G
exaly   +3 more sources

UEG Week 2015 Oral Presentations [PDF]

United European Gastroenterol J, 2015
United European Gastroenterology Journal, Volume 3, Issue S5, Page 1-145, October 2015.
europepmc   +2 more sources

UEG Week 2015 Poster Presentations [PDF]

United European Gastroenterol J, 2015
United European Gastroenterology Journal, Volume 3, Issue S5, Page 146-687, October 2015.
europepmc   +2 more sources

UEG Week 2013 Poster Presentations [PDF]

United European Gastroenterol J, 2013
United European Gastroenterology Journal, Volume 1, Issue S1, Page A135-A587, October 2013.
europepmc   +2 more sources

3-pre-Leibniz Algebras, Deformations and Cohomologies of Relative Rota-Baxter Operators on 3-Leibniz Algebras

Journal of Nonlinear Mathematical Physics
Abstract In this paper, first we introduce the notions of 3-pre-Leibniz algebras and relative Rota-Baxter operators on 3-Leibniz algebras. We show that a 3-pre-Leibniz algebra gives rise to a 3-Leibniz algebra and a representation such that the identity map is a relative Rota-Baxter operator.
Yanqiu Zhou, Song Lina, Hou Shuai
exaly   +2 more sources