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Deformations and Homotopy Theory of Relative Rota–Baxter Lie Algebras

Communications in mathematical physics, 2021-04, Vol.383 (1), p.595-631

2021

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The Controlling L∞-Algebra, Cohomology and Homotopy of Embedding Tensors and Lie–Leibniz Triples

Communications in mathematical physics, 2021, Vol.386 (1), p.269-304

2021

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Nonabelian embedding tensors

Letters in mathematical physics, 2023-02, Vol.113 (1), Article 14

2023

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Factorizable Lie Bialgebras, Quadratic Rota–Baxter Lie Algebras and Rota–Baxter Lie Bialgebras

Communications in mathematical physics, 2023, Vol.397 (2), p.763-791

2023

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Post-groups, (Lie-)Butcher groups and the Yang–Baxter equation

Mathematische annalen, 2024-01, Vol.388 (3), p.3127-3167

2024

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Associative 2-algebras and nonabelian extensions of associative algebras

Journal of homotopy and related structures, 2024-03, Vol.19 (1), p.63-77

2024

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Cross-scale investigation of the size effect on thermal conductivity of monolayer graphene

Applied physics letters, 2022-07, Vol.121 (4)

2022

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Maurer-Cartan characterizations and cohomologies of compatible Lie algebras

Science China. Mathematics, 2023-06, Vol.66 (6), p.1177-1198

2023

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Representations of Hom-Lie Algebras

Algebras and representation theory, 2012-12, Vol.15 (6), p.1081-1098

Sheng, Yunhe

2012

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A survey on deformations, cohomologies and homotopies of relative Rota–Baxter Lie algebras

The Bulletin of the London Mathematical Society, 2022-12, Vol.54 (6), p.2045-2065, Article 2045

Sheng, Yunhe

2022

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Representations and cohomologies of relative Rota-Baxter Lie algebras and applications

Journal of algebra, 2022-07, Vol.602, p.637-670

2022

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The First Pontryagin Class of a Quadratic Lie 2-Algebroid

Communications in mathematical physics, 2018-09, Vol.362 (2), p.689-716

Sheng, Yunhe

2018

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Relative Rota-Baxter operators and symplectic structures on Lie-Yamaguti algebras

Communications in algebra, 2022-09, Vol.50 (9), p.4056-4073

2022

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Integration and geometrization of Rota-Baxter Lie algebras

Advances in mathematics (New York. 1965), 2021-08, Vol.387, p.107834, Article 107834

2021

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A new approach to hom-Lie bialgebras

Journal of algebra, 2014-02, Vol.399, p.232-250

2014

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Symplectic, product and complex structures on 3-Lie algebras

Journal of algebra, 2018-08, Vol.508, p.256-300

2018

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Quasi-triangular and factorizable antisymmetric infinitesimal bialgebras

Journal of algebra, 2023-08, Vol.628, p.415-433

2023

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Categorification of pre-Lie Algebras and solutions of 2-graded classical Yang-Baxter equations

Theory and applications of categories, 2019-01, Vol.34 (11), p.269

Sheng, Yunhe

2019

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Hom-Lie 2-algebras

Journal of algebra, 2013-02, Vol.376, p.174-195

2013

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Cohomologies of Reynolds operators on n-Lie algebras

Communications in algebra, 2023-02, Vol.51 (2), p.779-798

2023

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Leibniz bialgebras, relative Rota–Baxter operators, and the classical Leibniz Yang–Baxter equation

Journal of noncommutative geometry, 2022-01, Vol.16 (4), p.1179-1211

2022

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Deformations and Their Controlling Cohomologies of O-Operators

Communications in mathematical physics, 2019-06, Vol.368 (2), p.665-700

2019

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Deformations of modified $r$-matrices and cohomologies of related algebraic structures

Journal of noncommutative geometry, 2024-03

2024

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Cohomologies of PoiMod pairs and compatible structures on Poisson algebras

Journal of geometry and physics, 2022-03, Vol.173, p.104449, Article 104449

2022

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Bialgebras, the classical Yang–Baxter equation and Manin triples for 3-Lie algebras

Advances in theoretical and mathematical physics, 2019, Vol.23 (1), p.27-74

2019

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Deformations and Homotopy Theory of Relative Rota–Baxter Lie Algebras

The Controlling L∞-Algebra, Cohomology and Homotopy of Embedding Tensors and Lie–Leibniz Triples

Nonabelian embedding tensors

Factorizable Lie Bialgebras, Quadratic Rota–Baxter Lie Algebras and Rota–Baxter Lie Bialgebras

Post-groups, (Lie-)Butcher groups and the Yang–Baxter equation

Associative 2-algebras and nonabelian extensions of associative algebras

Cross-scale investigation of the size effect on thermal conductivity of monolayer graphene

Maurer-Cartan characterizations and cohomologies of compatible Lie algebras

Representations of Hom-Lie Algebras

A survey on deformations, cohomologies and homotopies of relative Rota–Baxter Lie algebras

Representations and cohomologies of relative Rota-Baxter Lie algebras and applications

The First Pontryagin Class of a Quadratic Lie 2-Algebroid

Relative Rota-Baxter operators and symplectic structures on Lie-Yamaguti algebras

Integration and geometrization of Rota-Baxter Lie algebras

A new approach to hom-Lie bialgebras

Symplectic, product and complex structures on 3-Lie algebras

Quasi-triangular and factorizable antisymmetric infinitesimal bialgebras

Categorification of pre-Lie Algebras and solutions of 2-graded classical Yang-Baxter equations

Hom-Lie 2-algebras

Cohomologies of Reynolds operators on n-Lie algebras

Leibniz bialgebras, relative Rota–Baxter operators, and the classical Leibniz Yang–Baxter equation

Deformations and Their Controlling Cohomologies of O-Operators

Deformations of modified $r$-matrices and cohomologies of related algebraic structures

Cohomologies of PoiMod pairs and compatible structures on Poisson algebras

Bialgebras, the classical Yang–Baxter equation and Manin triples for 3-Lie algebras

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