Edit Profile (opens in new tab) Lu, Jiang-Hua Co-Author Distance Author ID: lu.jiang-hua Published as: Lu, Jiang-Hua Homepage: http://hkumath.hku.hk/~jhlu/ External Links: MGP · ResearchGate Documents Indexed: 40 Publications since 1987, including 4 Additional arXiv Preprints 2 Contributions as Editor · 1 Further Contribution Co-Authors: 16 Co-Authors with 26 Joint Publications 518 Co-Co-Authors all top 5 Co-Authors 11 single-authored 7 Evens, Sam 7 Weinstein, Alan David 3 Germain, Antoine de Saint 3 Yakimov, Milen T. 3 Yan, Min 3 Zhu, Yongchang 2 Cao, Peigen 2 Dito, Giuseppe 2 Foth, Philip A. 2 Maeda, Yoshiaki 1 Bursztyn, Henrique 1 Chan, Kei Yuen 1 Dazord, Pierre 1 Elek, Balázs 1 Ginzburg, Viktor L’vovich 1 He, Xuhua 1 Iglesias Ponte, David 1 Ji, Lizhen 1 Mi, Yipeng 1 Ratiu, Tudor Stefan 1 Sheu, Albert Jeu-Liang 1 Sondaz, Daniel 1 To, Simon Kai-Ming all top 5 Serials 5 Communications in Mathematical Physics 4 IMRN. International Mathematics Research Notices 3 Duke Mathematical Journal 3 Transformation Groups 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Journal of Differential Geometry 2 Comptes Rendus de l’Académie des Sciences. Série I 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Advances in Mathematics 1 Journal of Algebra 1 Mathematische Zeitschrift 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Transactions of the American Mathematical Society 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 Indagationes Mathematicae. New Series 1 Moscow Mathematical Journal 1 Contemporary Mathematics 1 Travaux Mathématiques all top 5 Fields 18 Differential geometry (53-XX) 12 Nonassociative rings and algebras (17-XX) 12 Topological groups, Lie groups (22-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Group theory and generalizations (20-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Algebraic geometry (14-XX) 5 Associative rings and algebras (16-XX) 3 Commutative algebra (13-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 871 times in 693 Documents Cited by ▼ Year ▼ Poisson Lie groups, dressing transformations, and Bruhat decompositions. Zbl 0673.58018 Lu, Jiang-Hua; Weinstein, Alan 195 1990 On the set-theoretical Yang-Baxter equation. Zbl 0960.16043 Lu, Jiang-Hua; Yan, Min; Zhu, Yong-Chang 125 2000 Hopf algebroids and quantum groupoids. Zbl 0884.17010 Lu, Jiang-Hua 99 1996 Transverse measures, the modular class and a cohomology pairing for Lie algebroids. Zbl 0968.58014 Evens, Sam; Lu, Jiang-Hua; Weinstein, Alan 95 1999 Quantization of the Poisson SU(2) and its Poisson homogeneous space - the 2-sphere. Zbl 0719.58042 Sheu, Albert Jeu-Liang 44 1991 Momentum mappings and reduction of Poisson actions. Zbl 0735.58004 Lu, Jiang-Hua 44 1991 On the Drinfeld double and the Heisenberg double of a Hopf algebra. Zbl 0815.16020 Lu, Jiang-Hua 36 1994 Poisson homogeneous spaces and Lie algebroids associated to Poisson actions. Zbl 0889.58036 Lu, Jiang-Hua 33 1997 Groupoïdes symplectiques doubles des groupes de Lie-Poisson. (Symplectic double groupoids of Poisson Lie groups). Zbl 0701.58025 Lu, Jiang-Hua; Weinstein, Alan 25 1989 On the variety of Lagrangian subalgebras. II. Zbl 1162.17020 Evens, Sam; Lu, Jiang-Hua 19 2006 Poisson cohomology of Morita-equivalent Poisson manifolds. Zbl 0783.58026 Ginzburg, Viktor L.; Lu, Jiang-Hua 17 1992 Classical dynamical \(r\)-matrices and homogeneous Poisson structures on \(G/H\) and \(K/T\). Zbl 1008.53064 Lu, Jiang-Hua 16 2000 Moment maps at the quantum level. Zbl 0801.17019 Lu, Jiang-Hua 16 1993 On the variety of Lagrangian subalgebras. I. Zbl 1098.17006 Evens, Sam; Lu, Jiang-Hua 15 2001 Poisson geometry of the Grothendieck resolution of a complex semisimple group. Zbl 1148.53061 Evens, Sam; Lu, Jiang-Hua 15 2007 Group orbits and regular partitions of Poisson manifolds. Zbl 1153.53059 Lu, Jiang-Hua; Yakimov, Milen 15 2008 On the nonlinear convexity theorem of Kostant. Zbl 0785.22019 Lu, Jiang-Hua; Ratiu, Tudor 14 1991 Coordinates on Schubert cells, Kostant’s harmonic forms, and the Bruhat Poisson structure on \(G/B\). Zbl 0938.22012 Lu, Jiang-Hua 12 1999 Poisson harmonic forms, Kostant harmonic forms, and the \(S^1\)-equivariant cohomology of \(K/T\). Zbl 0914.22009 Evens, Sam; Lu, Jiang-Hua 9 1999 On intersections of conjugacy classes and Bruhat cells. Zbl 1207.20042 Chan, Kei Yuen; Lu, Jiang-Hua; To, Simon Kai-Ming 9 2010 Partitions of the wonderful group compactification. Zbl 1144.20028 Lu, Jiang-Hua; Yakimov, Milen 7 2007 Quasi-triangular structures on Hopf algebras with positive bases. Zbl 0978.16034 Lu, Jiang-Hua; Yan, Min; Zhu, Yongchang 7 2000 On Hopf algebras with positive bases. Zbl 0991.16032 Lu, Jiang-Hua; Yan, Min; Zhu, Yongchang 7 2001 A note on Poisson homogeneous spaces. Zbl 1155.53050 Lu, Jiang-Hua 7 2008 A Poisson structure on compact symmetric spaces. Zbl 1067.53062 Foth, Philip A.; Lu, Jiang-Hua 7 2004 On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups. Zbl 1246.20040 Lu, Jiang-Hua 5 2011 On a class of double cosets in reductive algebraic groups. Zbl 1066.22019 Lu, Jiang-Hua; Yakimov, Milen 4 2005 Thompson’s conjecture for real semisimple Lie groups. Zbl 1084.22010 Evens, Sam; Lu, Jiang-Hua 4 2005 Bott-Samelson varieties and Poisson Ore extensions. Zbl 1518.22028 Elek, Balázs; Lu, Jiang-Hua 4 2021 On intersections of certain partitions of a group compactification. Zbl 1253.20049 He, Xuhua; Lu, Jiang-Hua 4 2011 Poisson structures on complex flag manifolds associated with real forms. Zbl 1083.53032 Foth, Philip; Lu, Jiang-Hua 3 2006 Affinoïdes de Poisson. (Affinoid Poisson structures). Zbl 0728.58013 Dazord, Pierre; Lu, Jiang-Hua; Sondaz, Daniel; Weinstein, Alan 2 1991 Poisson geometry in mathematics and physics. Proceedings of the international conference, Tokyo, Japan, June 5–9, 2006. Zbl 1131.53002 2 2008 Generalized Bruhat cells and completeness of Hamiltonian flows of Kogan-Zelevinsky integrable systems. Zbl 1459.17050 Lu, Jiang-Hua; Mi, Yipeng 2 2018 On the \(T\)-leaves and the ranks of a Poisson structure on twisted conjugacy classes. Zbl 1298.53084 Lu, Jiang-Hua 2 2014 A note on a theorem of Stanton-Weinstein on the \(L^ 4\)-norm of spherical harmonics. Zbl 0647.33006 Lu, Jiang-Hua 1 1987 Dirac geometry and integration of Poisson homogeneous spaces. Zbl 07870747 Bursztyn, Henrique; Iglesias-Ponte, David; Lu, Jiang-Hua 1 2024 Dirac geometry and integration of Poisson homogeneous spaces. Zbl 07870747 Bursztyn, Henrique; Iglesias-Ponte, David; Lu, Jiang-Hua 1 2024 Bott-Samelson varieties and Poisson Ore extensions. Zbl 1518.22028 Elek, Balázs; Lu, Jiang-Hua 4 2021 Generalized Bruhat cells and completeness of Hamiltonian flows of Kogan-Zelevinsky integrable systems. Zbl 1459.17050 Lu, Jiang-Hua; Mi, Yipeng 2 2018 On the \(T\)-leaves and the ranks of a Poisson structure on twisted conjugacy classes. Zbl 1298.53084 Lu, Jiang-Hua 2 2014 On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups. Zbl 1246.20040 Lu, Jiang-Hua 5 2011 On intersections of certain partitions of a group compactification. Zbl 1253.20049 He, Xuhua; Lu, Jiang-Hua 4 2011 On intersections of conjugacy classes and Bruhat cells. Zbl 1207.20042 Chan, Kei Yuen; Lu, Jiang-Hua; To, Simon Kai-Ming 9 2010 Group orbits and regular partitions of Poisson manifolds. Zbl 1153.53059 Lu, Jiang-Hua; Yakimov, Milen 15 2008 A note on Poisson homogeneous spaces. Zbl 1155.53050 Lu, Jiang-Hua 7 2008 Poisson geometry in mathematics and physics. Proceedings of the international conference, Tokyo, Japan, June 5–9, 2006. Zbl 1131.53002 2 2008 Poisson geometry of the Grothendieck resolution of a complex semisimple group. Zbl 1148.53061 Evens, Sam; Lu, Jiang-Hua 15 2007 Partitions of the wonderful group compactification. Zbl 1144.20028 Lu, Jiang-Hua; Yakimov, Milen 7 2007 On the variety of Lagrangian subalgebras. II. Zbl 1162.17020 Evens, Sam; Lu, Jiang-Hua 19 2006 Poisson structures on complex flag manifolds associated with real forms. Zbl 1083.53032 Foth, Philip; Lu, Jiang-Hua 3 2006 On a class of double cosets in reductive algebraic groups. Zbl 1066.22019 Lu, Jiang-Hua; Yakimov, Milen 4 2005 Thompson’s conjecture for real semisimple Lie groups. Zbl 1084.22010 Evens, Sam; Lu, Jiang-Hua 4 2005 A Poisson structure on compact symmetric spaces. Zbl 1067.53062 Foth, Philip A.; Lu, Jiang-Hua 7 2004 On the variety of Lagrangian subalgebras. I. Zbl 1098.17006 Evens, Sam; Lu, Jiang-Hua 15 2001 On Hopf algebras with positive bases. Zbl 0991.16032 Lu, Jiang-Hua; Yan, Min; Zhu, Yongchang 7 2001 On the set-theoretical Yang-Baxter equation. Zbl 0960.16043 Lu, Jiang-Hua; Yan, Min; Zhu, Yong-Chang 125 2000 Classical dynamical \(r\)-matrices and homogeneous Poisson structures on \(G/H\) and \(K/T\). Zbl 1008.53064 Lu, Jiang-Hua 16 2000 Quasi-triangular structures on Hopf algebras with positive bases. Zbl 0978.16034 Lu, Jiang-Hua; Yan, Min; Zhu, Yongchang 7 2000 Transverse measures, the modular class and a cohomology pairing for Lie algebroids. Zbl 0968.58014 Evens, Sam; Lu, Jiang-Hua; Weinstein, Alan 95 1999 Coordinates on Schubert cells, Kostant’s harmonic forms, and the Bruhat Poisson structure on \(G/B\). Zbl 0938.22012 Lu, Jiang-Hua 12 1999 Poisson harmonic forms, Kostant harmonic forms, and the \(S^1\)-equivariant cohomology of \(K/T\). Zbl 0914.22009 Evens, Sam; Lu, Jiang-Hua 9 1999 Poisson homogeneous spaces and Lie algebroids associated to Poisson actions. Zbl 0889.58036 Lu, Jiang-Hua 33 1997 Hopf algebroids and quantum groupoids. Zbl 0884.17010 Lu, Jiang-Hua 99 1996 On the Drinfeld double and the Heisenberg double of a Hopf algebra. Zbl 0815.16020 Lu, Jiang-Hua 36 1994 Moment maps at the quantum level. Zbl 0801.17019 Lu, Jiang-Hua 16 1993 Poisson cohomology of Morita-equivalent Poisson manifolds. Zbl 0783.58026 Ginzburg, Viktor L.; Lu, Jiang-Hua 17 1992 Quantization of the Poisson SU(2) and its Poisson homogeneous space - the 2-sphere. Zbl 0719.58042 Sheu, Albert Jeu-Liang 44 1991 Momentum mappings and reduction of Poisson actions. Zbl 0735.58004 Lu, Jiang-Hua 44 1991 On the nonlinear convexity theorem of Kostant. Zbl 0785.22019 Lu, Jiang-Hua; Ratiu, Tudor 14 1991 Affinoïdes de Poisson. (Affinoid Poisson structures). Zbl 0728.58013 Dazord, Pierre; Lu, Jiang-Hua; Sondaz, Daniel; Weinstein, Alan 2 1991 Poisson Lie groups, dressing transformations, and Bruhat decompositions. Zbl 0673.58018 Lu, Jiang-Hua; Weinstein, Alan 195 1990 Groupoïdes symplectiques doubles des groupes de Lie-Poisson. (Symplectic double groupoids of Poisson Lie groups). Zbl 0701.58025 Lu, Jiang-Hua; Weinstein, Alan 25 1989 A note on a theorem of Stanton-Weinstein on the \(L^ 4\)-norm of spherical harmonics. Zbl 0647.33006 Lu, Jiang-Hua 1 1987 all cited Publications top 5 cited Publications all top 5 Cited by 640 Authors 26 Rump, Wolfgang 16 Lu, Jiang-Hua 16 Vendramin, Leandro 16 Xu, Ping 12 Stefanelli, Paola 11 Böhm, Gabriella 11 Fehér, László Gy. 11 Weinstein, Alan David 10 Catino, Francesco 9 Alekseev, Anton Yur’evich 9 Gateva-Ivanova, Tatiana 9 Jespers, Eric 9 Militaru, Gigel 8 Esen, Oğul 8 Fernandes, Rui Loja 8 Liu, Zhangju 8 Majid, Shahn 8 Meljanac, Stjepan 8 Stiénon, Mathieu 7 Agore, Ana-Loredana 7 Brzeziński, Tomasz 7 Bursztyn, Henrique 7 Cedó, Ferran 7 Colazzo, Ilaria 7 Foth, Philip A. 7 Kadison, Lars 7 Mackenzie, Kirill Charles Howard 7 Mehta, Rajan Amit 7 Mrčun, Janez 7 Sütlü, Serkan 7 Yakimov, Milen T. 6 Bonechi, Francesco 6 Grabowski, Janusz 6 He, Xuhua 6 Lebed, Victoria 6 Montani, H. 6 Rubtsov, Vladimir Nikolaevich 6 Sheng, Yunhe 6 Smoktunowicz, Agata 5 Andruskiewitsch, Nicolás 5 Bruzzo, Ugo 5 Caseiro, Raquel 5 Chen, Zhuo 5 Crainic, Marius 5 Kosmann-Schwarzbach, Yvette 5 Lang, Honglei 5 Marrero Gonzalez, Juan Carlos 5 Škoda, Zoran 5 Szlachányi, Kornél 5 Tang, Xiang 5 Wang, Shuanhong 4 Boucetta, Mohamed 4 Chemla, Sophie 4 Ciccoli, Nicola 4 Das, Apurba 4 De Commer, Kenny 4 Donin, Joseph 4 Esposito, Chiara 4 Etingof, Pavel Il’ich 4 Evens, Sam 4 Guccione, Jorge Alberto 4 Guccione, Juan José 4 Jotz Lean, Madeleine 4 Kahng, Byung-Jay 4 Laugwitz, Robert 4 Laurent-Gengoux, Camille 4 Mazzotta, Marzia 4 Pachol, Anna 4 Panaite, Florin 4 Ratiu, Tudor Stefan 4 Safronov, Pavel 4 Sheu, Albert Jeu-Liang 4 Stojić, Martina 4 Tarlini, Marco 4 Timmermann, Thomas 4 Van Antwerpen, Arne 4 Zabzine, Maxim 4 Zakrzewski, Stanisław 3 Acri, Emiliano F. 3 Álvarez, Daniel 3 Ardizzoni, Alessandro 3 Bachiller, David 3 Biswas, Indranil 3 Bloch, Anthony Michael 3 Boalch, Philip P. 3 Bonatto, Marco 3 Borowiec, Andrzej Zdzisław 3 Cahen, Michel 3 Caine, Arlo 3 Drummond, Thiago 3 El Kaoutit, Laiachi 3 Ginzburg, Viktor L’vovich 3 Goodearl, Kenneth R. 3 Gualtieri, Marco 3 Gurevich, Dmitrii 3 Gutt, Simone 3 Hodges, Timothy J. 3 Iglesias Ponte, David 3 Jurčo, Branislav 3 Kališnik, Jure ...and 540 more Authors all top 5 Cited in 150 Serials 55 Journal of Algebra 51 Communications in Mathematical Physics 49 Journal of Geometry and Physics 48 Advances in Mathematics 25 Communications in Algebra 23 Letters in Mathematical Physics 18 Journal of Pure and Applied Algebra 15 Journal of Mathematical Physics 15 Transformation Groups 13 Transactions of the American Mathematical Society 12 Journal of Algebra and its Applications 10 Duke Mathematical Journal 10 Indagationes Mathematicae. New Series 9 Nuclear Physics. B 9 International Journal of Mathematics 9 Differential Geometry and its Applications 9 Journal of Noncommutative Geometry 9 Journal of Physics A: Mathematical and Theoretical 8 Annales de l’Institut Fourier 8 Mathematische Annalen 8 Proceedings of the American Mathematical Society 8 Journal of High Energy Physics 7 Israel Journal of Mathematics 6 Reports on Mathematical Physics 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Pacific Journal of Mathematics 6 Forum Mathematicum 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Functional Analysis 5 Linear Algebra and its Applications 5 Applied Categorical Structures 5 Journal of Lie Theory 5 Algebras and Representation Theory 5 International Journal of Geometric Methods in Modern Physics 4 International Journal of Modern Physics A 4 Theoretical and Mathematical Physics 4 International Journal of Mathematics and Mathematical Sciences 4 Mathematische Zeitschrift 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Topology and its Applications 4 Publicacions Matemàtiques 4 Annales Henri Poincaré 4 Journal of Nonlinear Mathematical Physics 4 Journal of Geometric Mechanics 3 Physics Letters. B 3 Journal für die Reine und Angewandte Mathematik 3 Journal of the American Mathematical Society 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Journal of Knot Theory and its Ramifications 3 Journal of Mathematical Sciences (New York) 3 St. Petersburg Mathematical Journal 3 Selecta Mathematica. New Series 3 Representation Theory 3 Communications in Contemporary Mathematics 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Mediterranean Journal of Mathematics 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Mathematics of Computation 2 Reviews in Mathematical Physics 2 Bulletin of the London Mathematical Society 2 Colloquium Mathematicum 2 Compositio Mathematica 2 Geometriae Dedicata 2 Inventiones Mathematicae 2 Memoirs of the American Mathematical Society 2 Monatshefte für Mathematik 2 Proceedings of the London Mathematical Society. Third Series 2 Semigroup Forum 2 Tôhoku Mathematical Journal. Second Series 2 Science in China. Series A 2 International Journal of Algebra and Computation 2 Theory and Applications of Categories 2 Journal of the European Mathematical Society (JEMS) 2 Algebraic & Geometric Topology 2 Central European Journal of Mathematics 2 Journal of Homotopy and Related Structures 1 Modern Physics Letters A 1 Classical and Quantum Gravity 1 Journal of Statistical Physics 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Archiv der Mathematik 1 Archivum Mathematicum 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Collectanea Mathematica 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Manuscripta Mathematica 1 Mathematica Slovaca 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Results in Mathematics 1 Revista de la Unión Matemática Argentina ...and 50 more Serials all top 5 Cited in 40 Fields 273 Associative rings and algebras (16-XX) 264 Differential geometry (53-XX) 236 Nonassociative rings and algebras (17-XX) 161 Quantum theory (81-XX) 109 Global analysis, analysis on manifolds (58-XX) 104 Topological groups, Lie groups (22-XX) 84 Group theory and generalizations (20-XX) 73 Dynamical systems and ergodic theory (37-XX) 59 Algebraic geometry (14-XX) 53 Category theory; homological algebra (18-XX) 43 Functional analysis (46-XX) 31 Manifolds and cell complexes (57-XX) 24 Mechanics of particles and systems (70-XX) 20 Several complex variables and analytic spaces (32-XX) 16 Algebraic topology (55-XX) 14 Relativity and gravitational theory (83-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 11 Commutative algebra (13-XX) 10 Combinatorics (05-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 8 \(K\)-theory (19-XX) 8 Partial differential equations (35-XX) 6 General algebraic systems (08-XX) 6 Ordinary differential equations (34-XX) 5 Mathematical logic and foundations (03-XX) 5 Special functions (33-XX) 4 Operator theory (47-XX) 4 Geometry (51-XX) 4 Convex and discrete geometry (52-XX) 3 Number theory (11-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Field theory and polynomials (12-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Abstract harmonic analysis (43-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year