Dong Liu

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All published works

Action	Title	Year	Authors
+ PDF Chat	Singular vectors, characters, and composition series for the N=1 BMS superalgebra	2024	Jiang Wei Dong Liu Yufeng Pei Kaiming Zhao
+	Whittaker Modules Over the <i>N</i> = 2 Neveu-Schwarz Algebra	2024	Chao Lan Dong Liu
+ PDF Chat	Non-Weight Modules over the N = 1 Heisenberg–Virasoro Superalgebra	2024	Munayim Dilxat Dong Liu
+	Simple Harish-Chandra modules over the superconformal current algebra	2024	Yan He Dong Liu Yan Wang
+ PDF Chat	1-Cocycles of the Witt algebra with coefficients in tensor product of modules	2024	Shoulan Gao Dong Liu Yufeng Pei
+ PDF Chat	1-cocycles of the Witt algebra with coefficients in tensor product of modules	2024	Shoulan Gao Dong Liu Yufeng Pei
+	Whittaker Modules over the N = 2 Super-BMS3 Algebra	2024	Qingyan Wu Shoulan Gao Dong Liu
+ PDF Chat	Smooth modules over the N=1 Bondi-Metzner-Sachs superalgebra	2024	Dong Liu Yufeng Pei Limeng Xia Kaiming Zhao
+ PDF Chat	Irreducible modules over N = 2 superconformal algebras arising from algebraic D-modules	2024	Haibo Chen Xiansheng Dai Dong Liu Yufeng Pei
+ PDF Chat	Local derivations and local automorphisms on the super Virasoro algebras	2024	Qingyan Wu Shoulan Gao Dong Liu Chang Ye
+ PDF Chat	Irreducible modules for super-Virasoro algebras from algebraic D-modules	2023	Haibo Chen Xiansheng Dai Dong Liu Yufeng Pei
+	Super-biderivations and Post-Lie Superalgebras on Some Lie Superalgebras	2023	Munayim Dilxat Shou Lan Gao Dong Liu
+	Classification of simple Harish–Chandra modules over the Ovsienko–Roger superalgebra	2023	Munayim Dilxat Liangyun Chen Dong Liu
+	Simple smooth modules over the superconformal current algebra	2023	Dong Liu Yufeng Pei Limeng Xia Kaiming Zhao
+	Smooth modules over the N=1 Bondi-Metzner-Sachs superalgebra	2023	Dong Liu Yufeng Pei Limeng Xia Kaiming Zhao
+ PDF Chat	Local derivations on the Lie algebra <i>W</i> (2, 2)	2022	Qingyan Wu Shoulan Gao Dong Liu
+	Whittaker modules for the N = 1 super-BMS<sub>3</sub> algebra	2022	Munayim Dilxat Shoulan Gao Dong Liu
+ PDF Chat	Convexity, Starlikeness, and Prestarlikeness of Wright Functions	2022	Dong Liu Muhey U. Din Mohsan Raza Sarfraz Nawaz Malik Huo Tang
+ PDF Chat	Finite Dimensional Simple Modules over Some GIM Lie Algebras	2022	Limeng Xia Dong Liu
+ PDF Chat	U(h)-Free Modules over the Lie Algebras of Differential Operators	2022	Munayim Dilxat Shoulan Gao Dong Liu Limeng Xia
+	Classification of simple Harish-Chandra modules over the Ovsienko-Roger superalgebra	2022	Munayim Dilxat Liangyun Chen Dong Liu
+	Local derivations on the Lie algebra $W(2,2)$	2022	Qingyan Wu Shoulan Gao Dong Liu
+	$U(\frak h)$-free modules over the Lie algebras of differential operators	2022	Munayim Dilxat Shoulan Gao Dong Liu Limeng Xia
+	Super-biderivations and post-Lie superalgebras on some Lie superalgebras	2022	Munayim Dilxat Shoulan Gao Dong Liu
+ PDF Chat	A Subclass of Janowski Starlike Functions Involving Mathieu-Type Series	2021	Dong Liu Serkan Aracı Bilal Khan
+	2-Local superderivations on the super Virasoro algebra and the super W(2,2) algebra	2021	Munayim Dilxat Shoulan Gao Dong Liu
+	A Category of Restricted Modules for the Ovisenko-Roger Algebra	2021	Dong Liu Yufeng Pei Limeng Xia
+	Irreducible modules over the mirror Heisenberg–Virasoro algebra	2021	Dong Liu Yufeng Pei Limeng Xia Kaiming Zhao
+	From super Weyl modules to the super Virasoro modules	2021	Haibo Chen Xiansheng Dai Dong Liu
+	Simple Harish-Chandra modules over the super affine-Virasoro algebras	2021	He Yan Dong Liu Yan Wang
+	Classification of simple Harish-Chandra modules over the N = 1 Ramond algebra	2020	Yan-an Cai Dong Liu Rencai Lü
+ PDF Chat	2-Local derivations on the Super Virasoro algebra and Super W(2,2) algebra	2020	Munayim Dilxat Shoulan Gao Dong Liu
+	Classification of simple Harish-Chandra modules over the N=1 Ramond algebra	2020	Yan-an Cai Dong Liu Rencai Lü
+	2-Local derivations on the Super Virasoro algebra and Super W(2,2) algebra	2020	Munayim Dilxat Shoulan Gao Dong Liu
+	Simple restricted modules for Neveu-Schwarz algebra	2019	Dong Liu Yufeng Pei Limeng Xia
+ PDF Chat	Representations for three-point Lie algebras of genus zero	2019	Dong Liu Yufeng Pei Limeng Xia
+ PDF Chat	Weighted inequalities for fractional Hardy operators and commutators	2019	Wenming Li Dong Liu Jing Liu
+	Classification of simple weight modules for the $N=2$ superconformal algebra	2019	Dong Liu Yufeng Pei Limeng Xia
+	Tensor product weight modules of Schrödinger-Virasoro algebras	2019	Dong Liu Xiufu Zhang
+	Representations for three-point Lie algebras of genus zero	2019	Dong Liu Yufeng Pei Limeng Xia
+	Deformations on the Twisted Heisenberg-Virasoro Algebra	2018	Dong Liu Yufeng Pei
+ PDF Chat	Whittaker modules for the super-Virasoro algebras	2018	Dong Liu Yufeng Pei Limeng Xia
+	On finite dimensional simple Novikov superalgebras	2018	Dong Liu Yufeng Pei Limeng Xia
+	Whittaker modules for the super-Virasoro algebras	2018	Dong Liu Yufeng Pei Limeng Xia
+	Simple restricted modules for Neveu-Schwarz algebra	2018	Dong Liu Yufeng Pei Limeng Xia
+	Irreducible representations over the diamond Lie algebra	2017	Dong Liu Yufeng Pei Limeng Xia
+	Structure of The Planar Galilean Conformal Algebra	2016	Shoulan Gao Dong Liu Yufeng Pei
+	Classification of Harish-Chandra modules over some Lie algebras related to the Virasoro algebra	2015	Dong Liu
+	Some subsystems of a lie triple system closely related to its Frattini subsystem	2013	Liangyun Chen Dong Liu Xiaoning Xu
+	Lie bialgebra structures on the twisted Heisenberg–Virasoro algebra	2012	Dong Liu Yufeng Pei Linsheng Zhu
+ PDF Chat	Leibniz Superalgebras Graded by Finite Root Systems	2012	Naihong Hu Dong Liu Linsheng Zhu
+	Lie superbialgebra structures on the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math> superconformal Neveu–Schwarz algebra	2011	Dong Liu Liangyun Chen Linsheng Zhu
+ PDF Chat	The deformed Lie algebra of differential operators of order at most one	2011	Shoulan Gao Dong Liu Yufeng Pei
+	Classification of Harish-Chandra modules over some Lie algebras and superconformal algebras related to the Virasoro algebra	2010	Dong Liu
+	The Frattini p-subsystem of a solvable restricted Lie triple system	2010	Liang Yun Chen Dong Liu
+ PDF Chat	Leibniz Algebras Graded by Finite Root Systems	2010	Dong Liu Naihong Hu
+	Lie bialgebra structures on some Lie algebras related to the Virasoro algebra	2010	Dong Liu Yufeng Pei Linsheng Zhu
+	Lie bialgebra structures on the Lie algebra ${\mathcal W}_{1+\infty}$	2010	Dong Liu Liangyun Chen
+ PDF Chat	Mahalanobis Support Vector Machines Made Fast and Robust	2010	Xunkai Wei Yinghong Li Dong Liu Liguang Zh
+ PDF Chat	Whittaker modules for the twisted Heisenberg–Virasoro algebra	2010	Dong Liu Yuezhu Wu Linsheng Zhu
+	Classification of Harish-Chandra modules over some Lie algebras related to the Virasoro algebra	2010	Dong Liu
+	Lie superbialgebra structures on the N=2 superconformal Neveu-Schwarz algebra	2010	Dong Liu Liangyun Chen Linsheng Zhu
+	Lie bialgebra structures on the twisted Heisenberg-Virasoro algebra	2010	Dong Liu Yufeng Pei Linsheng Zhu
+	q-conjugacy classes in loop groups	2010	Dong Liu
+	Generalized Heisenberg-Virasoro algebras	2009	Dong Liu Linsheng Zhu
+	Derivations and 2-Cocycles of the Algebra of (r,s)-Differential Operators(English)	2009	Chen Ru Lin Lei Dong Liu
+	Some Properties of Skew Hermite Matrices	2009	Dong Liu
+	On the Cohomology Groups of Leibniz Algebras	2009	Dong Liu
+ PDF Chat	Classification of irreducible weight modules over W-algebra W(2,2)	2008	Dong Liu Shoulan Gao Linsheng Zhu
+	On the toroidal Leibniz algebras	2008	Dong Liu Lin Lei
+	Classification of Harish-Chandra modules over the $W$-algebra W(2,2)	2008	Dong Liu Lingsheng Zhu
+ PDF Chat	Harish-Chandra modules over the twisted Heisenberg-Virasoro algebra	2008	Dong Liu Cuipo Jiang
+ PDF Chat	A cohomological characterization of Leibniz central extensions of Lie algebras	2007	Naihong Hu Yufeng Pei Dong Liu
+	Universal Central Extensions of the Matrix Leibniz Superalgebras 𝔰𝔩(<i>m</i>,<i>n</i>, 𝒜)	2007	Dong Liu Naihong Hu
+	Bosonic representations of the twisted Heisenberg-Virasoro algebra	2007	Dong Liu
+ PDF Chat	LEIBNIZ SUPERALGEBRAS AND CENTRAL EXTENSIONS	2006	Dong Liu Naihong Hu
+	Universal Central Extensions of the Matrix Leibniz Superalgebras sl(m, n, A)	2006	Naihong Hu Dong Liu
+	Some classes of modules over the twisted Heisenberg-Virasoro algebra	2005	Dong Liu Cuipo jiang
+	Steinberg Unitary Leibniz algebras	2005	Dong Liu Naihong Hu
+	Steinberg unitary Leibniz algebras	2005	Dong Liu Naihong Hu
+	Vertex representations for toroidal Lie algebra of type <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math>	2005	Dong Liu Naihong Hu
+	The generalized Heisenberg-Virasoro algebra	2005	Dong Liu Linsheng Zhu
+	Leibniz Algebras Graded by Finite Root Systems	2005	Dong Liu Naihong Hu
+	Leibniz superalgebras graded by finite root systems	2005	Naihong Hu Dong Liu and Linsheng Zhu
+	Derivation Algebras and 2-Cocycles of the Algebras of<i>q</i>-Differential Operators	2004	Dong Liu Naihong Hu
+	Steinberg–Leibniz algebras and superalgebras	2004	Dong Liu
+	Leibniz Central Extensions on Some Infinite-Dimensional Lie Algebras	2004	Dong Liu Naihong Hu
+	The Associative Forms of G_2 and Its Variations	2000	Dong Liu
+	DERIVATION ALGEBRAS OF VARIATIONS V_4G AND V_5G	2000	Dong Liu

Common Coauthors

Coauthor	Papers Together
Yufeng Pei	26
Limeng Xia	17
Shoulan Gao	16
Naihong Hu	13
Munayim Dilxat	11
Linsheng Zhu	10
Liangyun Chen	6
Kaiming Zhao	5
Haibo Chen	3
Xiansheng Dai	3
Rencai Lü	2
Yan-an Cai	2
Yan Wang	2
Qingyan Wu	2
Qingyan Wu	2
Liguang Zh	1
He Yan	1
Yan He	1
Jiang Wei	1
Xiaoning Xu	1
Lin Lei	1
Wenming Li	1
Jing Liu	1
Yinghong Li	1
Liang Yun Chen	1
Chao Lan	1
Xiufu Zhang	1
and Linsheng Zhu	1
Shou Lan Gao	1
Lingsheng Zhu	1
Serkan Aracı	1
Sarfraz Nawaz Malik	1
Cuipo jiang	1
Chen Ru	1
Huo Tang	1
Muhey U. Din	1
Cuipo Jiang	1
Mohsan Raza	1
Yuezhu Wu	1
Bilal Khan	1
Lin Lei	1
Xunkai Wei	1
Chang Ye	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Moduli spaces of curves and representation theory	1988	Enrico Arbarello Corrado De Concini Victor G. Kač Claudio Procesi	22
+ PDF Chat	Representations of the Twisted Heisenberg–Virasoro Algebra at Level Zero	2003	Yuly Billig	17
+ PDF Chat	CLASSIFICATION OF IRREDUCIBLE WEIGHT MODULES OVER THE TWISTED HEISENBERG–VIRASORO ALGEBRA	2010	Rencai Lü Kaiming Zhao	16
+	Classification of harish-chandra modules over the super-virasoro algebras	1995	Yucai Su	14
+	Classification of Harish-Chandra modules over the Virasoro Lie algebra	1992	Olivier Mathieu	13
+ PDF Chat	Harish-Chandra modules over the twisted Heisenberg-Virasoro algebra	2008	Dong Liu Cuipo Jiang	13
+	Universal enveloping algebras of Leibniz algebras and (co)homology	1993	Jean-Louis Loday Teimuraz Pirashvili	12
+	Low-Dimensional Cohomology Groups of the Lie Algebras W(<i>a</i>,<i>b</i>)	2011	Shoulan Gao Cuipo Jiang Yufeng Pei	12
+	W-Algebra W(2, 2) and the Vertex Operator Algebra $${L(\frac{1}{2},\,0)\,\otimes\, L(\frac{1}{2},\,0)}$$	2008	Wei Zhang Chongying Dong	11
+	Representation theory of Neveu–Schwarz and Ramond algebras I: Verma modules	2003	Kenji Iohara Yoshiyuki Koga	10
+ PDF Chat	Whittaker modules for the super-Virasoro algebras	2018	Dong Liu Yufeng Pei Limeng Xia	10
+	Simple restricted modules for Neveu-Schwarz algebra	2019	Dong Liu Yufeng Pei Limeng Xia	10
+	Leibniz homology of unitary Lie algebras	1999	Yun Gao	9
+	Extensions of the Virasoro group and the Virasoro algebra by modules of tensor densities onS 1	1996	Valentin Ovsienko Claude Roger	9
+	The Derivation Algebra and Automorphism Group of the Twisted Heisenberg–Virasoro Algebra	2006	Ran Shen Cuipo Jiang	8
+	The Second Leibniz Homology Group for Kac-Moody Lie Algebras	2000	Yun Gao	8
+	Some problems on infinite dimensional lie algebras and their representations	1982	Victor G. Kač	8
+ PDF Chat	Simple Virasoro modules which are locally finite over a positive part	2013	Volodymyr Mazorchuk Kaiming Zhao	8
+ PDF Chat	CUP-Product for Leibnitz Cohomology and Dual Leibniz Algebras.	1995	Jean-Louis Loday	8
+	Classification of Harish-Chandra modules over some Lie algebras related to the Virasoro algebra	2015	Dong Liu	8
+	The irreducible representations of the Lie algebra sl(2) and of the Weyl algebra	1981	Richard E. Block	8
+	On algebraically irreducible representations of the Lie algebra <i>sl</i>(2)	1974	Didier Arnal Georges Pinczon	8
+	Classification of simple Harish-Chandra modules over the N = 1 Ramond algebra	2020	Yan-an Cai Dong Liu Rencai Lü	7
+	Generalizations of Virasoro group and Virasoro algebra through extensions by modules of tensor-densities on S1	1998	Valentin Ovsienko Claude Roger	7
+	On Whittaker vectors and representation theory	1978	Bertram Kostant	7
+	Leibniz Central Extensions on Some Infinite-Dimensional Lie Algebras	2004	Dong Liu Naihong Hu	7
+ PDF Chat	Representation theory of Neveu-Schwarz and Ramond algebras II: Fock modules	2003	Kenji Iohara Yoshiyuki Koga	7
+	Harish-Chandra Modules Over the Virasoro Algebra	1985	Irving Kaplansky L. J. Santharoubane	7
+	Whittaker modules for Heisenberg algebras and imaginary Whittaker modules for affine Lie algebras	2008	Konstantina Christodoulopoulou	7
+ PDF Chat	WHITTAKER MODULES FOR THE VIRASORO ALGEBRA	2009	Matthew Ondrus Emilie Wiesner	7
+ PDF Chat	Superconformal field theory and Jack superpolynomials	2012	Patrick Desrosiers Luc Lapointe Pierre Mathieu	7
+ PDF Chat	The Schrödinger-Virasoro Lie Group and Algebra: Representation Theory and Cohomological Study	2006	Claude Roger Jérémie Unterberger	7
+	Blocks and modules for Whittaker pairs	2010	Punita Batra Volodymyr Mazorchuk	6
+ PDF Chat	Classification of the Lie bialgebra structures on the Witt and Virasoro algebras	2000	Siu‐Hung Ng Earl J. Taft	6
+	Derivations and central extensions of finitely generated graded Lie algebras	1988	Rolf Farnsteiner	6
+	Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series	2002	Yucai Su Kaiming Zhao	6
+ PDF Chat	The arithmetic theory of loop groups	1980	Howard Garland	6
+	Simple Harish-Chandra modules, intermediate series modules, and Verma modules over the loop-Virasoro algebra	2010	Xiangqian Guo Rencai Lü Kaiming Zhao	6
+	Une version non commutative des algèbres de Lie : les algèbres de Leibniz	1993	Jean-Louis Loday	6
+	Whittaker vectors of the Virasoro algebra in terms of Jack symmetric polynomial	2011	Shintarou Yanagida	6
+	Classification of irreducible representations of Lie algebra of vector fields on a torus	2014	Yuly Billig Vyacheslav Futorny	6
+ PDF Chat	Central Quotients and Coverings of Steinberg Unitary Lie Algebras	1996	Bruce Allison Yun Gao	6
+	Representations of the Twisted Heisenberg–Virasoro Algebra and the Full Toroidal Lie Algebras	2007	Qifen Jiang Cuipo Jiang	6
+	Steinberg–Leibniz algebras and superalgebras	2004	Dong Liu	6
+ PDF Chat	Whittaker modules for the twisted Heisenberg–Virasoro algebra	2010	Dong Liu Yuezhu Wu Linsheng Zhu	6
+ PDF Chat	Extensions centrales d'algèbres de Lie	1982	Christian Kassel Jean-Louis Loday	6
+	Whittaker modules for the affine Lie algebra<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msubsup></mml:math>	2015	Dražen Adamović Rencai Lü Kaiming Zhao	6
+	Lie bialgebra structures on the twisted Heisenberg–Virasoro algebra	2012	Dong Liu Yufeng Pei Linsheng Zhu	6
+ PDF Chat	Characters of the unitarizable highest weight modules over the N = 2 superconformal algebras	1987	V. K. Dobrev	6
+ PDF Chat	Irreducible modules over the Virasoro algebra	2011	Rencai Lü Xiangqian Guo Kaiming Zhao	6