Guilai Liu

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All published works

Action	Title	Year	Authors
+	Yang-Baxter Equations and Relative Rota-Baxter Operators for Left-Alia Algebras Associated to Invariant Theory	2024	Chuangchuang Kang Guilai Liu Shizhuo Yu
+ PDF Chat	Quasi-triangular, factorizable Leibniz bialgebras and relative Rota–Baxter operators	2024	Chengming Bai Guilai Liu Yunhe Sheng Rong Tang
+	Rota-Baxter Lie bialgebras, classical Yang-Baxter equations and special L-dendriform bialgebras	2024	Chengming Bai Li Guo Guilai Liu Tianshui Ma
+	Anti-dendriform algebras, new splitting of operations and Novikov-type algebras	2024	Dongfang Gao Guilai Liu Chengming Bai
+ PDF Chat	Manin Triples and Bialgebras of Left-Alia Algebras Associated with Invariant Theory	2024	Chuangchuang Kang Guilai Liu Zhuo Wang Shizhuo Yu
+	Relative Poisson bialgebras and Frobenius Jacobi algebras	2023	Guilai Liu Chengming Bai
+ PDF Chat	A bialgebra theory for transposed Poisson algebras via anti-pre-Lie bialgebras and anti-pre-Lie Poisson bialgebras	2023	Guilai Liu Chengming Bai
+	Relative Poisson bialgebras and Frobenius Jacobi algebras	2023	Guilai Liu Chengming Bai
+	A bialgebra theory for transposed Poisson algebras via anti-pre-Lie bialgebras and anti-pre-Lie-Poisson bialgebras	2023	Guilai Liu Chengming Bai
+	New splittings of operations of Poisson algebras and transposed Poisson algebras and related algebraic structures	2023	Guilai Liu Chengming Bai
+	New Splittings of Operations of Poisson Algebras and Transposed Poisson Algebras and Related Algebraic Structures	2023	Guilai Liu Chengming Bai
+ PDF Chat	Anti-pre-Lie algebras, Novikov algebras and commutative 2-cocycles on Lie algebras	2022	Guilai Liu Chengming Bai
+	Rota-Baxter Lie bialgebras, classical Yang-Baxter equations and special L-dendriform bialgebras	2022	Chengming Bai Li Guo Guilai Liu Tianshui Ma
+	Anti-dendriform algebras, new splitting of operations and Novikov type algebras	2022	Dongfang Gao Guilai Liu Chengming Bai

Common Coauthors

Coauthor	Papers Together
Chengming Bai	9
Chengming Bai	3
Dongfang Gao	2
Chuangchuang Kang	2
Tianshui Ma	2
Shizhuo Yu	2
Zhuo Wang	1
Li Guo	1
Yunhe Sheng	1
Li Guo	1
Rong Tang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Commutative 2-cocycles on Lie algebras	2010	Askar Dzhumadil’daev Pasha Zusmanovich	7
+ PDF Chat	Anti-pre-Lie algebras, Novikov algebras and commutative 2-cocycles on Lie algebras	2022	Guilai Liu Chengming Bai	7
+ PDF Chat	Algebras with skew-symmetric identity of degree 3	2009	Askar Dzhumadil’daev	6
+ PDF Chat	Left-symmetric algebras, or pre-Lie algebras in geometry and physics	2006	Dietrich Burde	6
+ PDF Chat	Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras	2023	Chengming Bai Ruipu Bai Li Guo Yong Wu	4
+	Lie algebras satisfying identities of degree 5	1996	V. T. Filippov	4
+	On the Associative Analog of Lie Bialgebras	2001	Marcelo Aguiar	4
+	Infinitesimal Hopf algebras	2000	Marcelo Aguiar	4
+	Novikov–Poisson Algebras	1997	Xiaoping Xu	4
+	Derivation-Simple Algebras and the Structures of Lie Algebras of Witt Type	2000	Yucai Su Xiaoping Xu Hechun Zhang	4
+	An Introduction to Pre‐Lie Algebras	2021	Chengming Bai	4
+	Comparison of Hopf algebras on trees	2003	Ralf Holtkamp	3
+	-(bi)derivations and transposed Poisson algebra structures on Lie algebras	2021	Lamei Yuan Qianyi Hua	3
+ PDF Chat	Domaines bornés homogènes et orbites de groupes de transformations affines	1961	Jean-Louis Koszul	3
+	Frobenius Algebras and 2D Topological Quantum Field Theories	2003	Joachim Kock	3
+ PDF Chat	CUP-Product for Leibnitz Cohomology and Dual Leibniz Algebras.	1995	Jean-Louis Loday	3
+	Eulerian idempotents and Milnor–Moore theorem for certain non-cocommutative Hopf algebras	2002	Marı́a Ronco	3
+ PDF Chat	An analytic problem whose solution follows from a simple algebraic identity	1960	Glen Baxter	3
+	Open–closed strings: Two-dimensional extended TQFTs and Frobenius algebras	2008	Aaron D. Lauda Hendryk Pfeiffer	3
+ PDF Chat	Double constructions of Frobenius algebras, Connes cocycles and their duality	2010	Chengming Bai	3
+	The Cohomology Structure of an Associative Ring	1963	Murray Gerstenhaber	3
+	Dialgebra homology of associative algebras	1997	Alessandra Frabetti	3
+	Leibniz bialgebras, relative Rota–Baxter operators, and the classical Leibniz Yang–Baxter equation	2022	Rong Tang Yunhe Sheng	3
+	On Hopf algebra structures over free operads	2006	Ralf Holtkamp	3
+ PDF Chat	Splitting of Operations, Manin Products, and Rota–Baxter Operators	2012	Chengming Bai Olivier Bellier Li Guo Xiang Ni	2
+	Un théorème de Cartier–Milnor–Moore–Quillen pour les bigèbres dendriformes et les algèbres braces	2002	Frédéric Chapoton	2
+ PDF Chat	𝒪-operators on associative algebras and associative Yang–Baxter equations	2012	Chengming Bai Li Guo Xiang Ni	2
+	The second homology group of current Lie algebras	2008	Pasha Zusmanovich	2
+	New Generalized Simple Lie Algebras of Cartan Type over a Field with Characteristic 0	2000	Xiaoping Xu	2
+ PDF Chat	Poisson bialgebras	2013	Xiang Ni Chengming Bai	2
+	Les algèbres de Hopf des arbres enracinés décorés, II	2002	Loïc Foissy	2
+	RELATIVE ROTA–BAXTER OPERATORS AND TRIDENDRIFORM ALGEBRAS	2013	Chengming Bai Li Guo Xiang Ni	2
+	None	2000	Marcelo Aguiar	2
+	Arithmetree	2002	Jean-Louis Loday	2
+ PDF Chat	The algebraic and geometric classification of transposed Poisson algebras	2023	Patrícia Damas Beites Amir Fernández Ouaridi Ivan Kaygorodov	2
+ PDF Chat	A unified algebraic approach to the classical Yang–Baxter equation	2007	Chengming Bai	2
+	$O$-operators on associative algebras and associative Yang-Baxter equations	2009	Chengming Bai Li Guo Xiang Ni	2
+ PDF Chat	Symplectic homogeneous spaces	1974	Bon Yao Chu	2
+ PDF Chat	Special and exceptional mock-Lie algebras	2016	Pasha Zusmanovich	2
+	Hopf Algebra of the Planar Binary Trees	1998	Jean-Louis Loday Marı́a Ronco	2
+ PDF Chat	$$\frac{1}{2}$$-derivations of Lie algebras and transposed Poisson algebras	2021	Bruno Leonardo Macedo Ferreira Ivan Kaygorodov Viktor Lopatkin	2
+	Invariants of Finite Groups Generated by Reflections	1955	Claude Chevalley	2
+	Leibniz homilogy of dialgebras of matrices	1998	Alessandra Frabetti	2
+ PDF Chat	Simple left-symmetric algebras with solvable Lie algebra	1998	Dietrich Burde	2
+ PDF Chat	None	2002	Jean-Louis Loday Marı́a Ronco	2
+	Universal enveloping algebras of Leibniz algebras and (co)homology	1993	Jean-Louis Loday Teimuraz Pirashvili	2
+ PDF Chat	Non-commutative differential geometry	1985	Alain Connes	2
+	Infinitesimal bialgebras, pre-Lie and dendriform algebras	2002	Marcelo Aguiar	2
+	Non-Abelian phase spaces	1994	Boris A. Kupershmidt	2
+ PDF Chat	Leibniz Bialgebras, Classical Yang–Baxter Equations and Dynamical Systems	2021	A. Rezaei-Aghdam L. Sedghi-Ghadim Ghorbanali Haghighatdoost	2