Edit Profile (opens in new tab) Lu, Jiang-Hua Compute Distance To: Compute Author ID: lu.jiang-hua Published as: Lu, Jiang-Hua Homepage: http://hkumath.hku.hk/~jhlu/ External Links: MGP · ResearchGate Documents Indexed: 38 Publications since 1987 2 Contributions as Editor · 1 Further Contribution Co-Authors: 16 Co-Authors with 25 Joint Publications 456 Co-Co-Authors all top 5 Co-Authors 11 single-authored 7 Weinstein, Alan David 6 Evens, Sam 3 Mouquin, Victor 3 Yakimov, Milen T. 3 Yan, Min 3 Zhu, Yongchang 2 Dito, Giuseppe 2 Foth, Philip A. 2 Maeda, Yoshiaki 1 Chan, Kei Yuen 1 Dazord, Pierre 1 Elek, Balázs 1 Ginzburg, Viktor L’vovich 1 He, Xuhua 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 5 IMRN. International Mathematics Research Notices 4 Transformation Groups 3 Duke Mathematical Journal 2 Advances in Mathematics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Comptes Rendus de l’Académie des Sciences. Série I 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Journal of Algebra 1 Journal of Differential Geometry 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 20 Differential geometry (53-XX) 14 Topological groups, Lie groups (22-XX) 12 Nonassociative rings and algebras (17-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Group theory and generalizations (20-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Algebraic geometry (14-XX) 5 Associative rings and algebras (16-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 38 Publications have been cited 746 times in 589 Documents Cited by ▼ Year ▼ Poisson Lie groups, dressing transformations, and Bruhat decompositions. Zbl 0673.58018Lu, Jiang-Hua; Weinstein, Alan 165 1990 On the set-theoretical Yang-Baxter equation. Zbl 0960.16043Lu, Jiang-Hua; Yan, Min; Zhu, Yong-Chang 95 2000 Hopf algebroids and quantum groupoids. Zbl 0884.17010Lu, Jiang-Hua 86 1996 Transverse measures, the modular class and a cohomology pairing for Lie algebroids. Zbl 0968.58014Evens, Sam; Lu, Jiang-Hua; Weinstein, Alan 86 1999 Quantization of the Poisson SU(2) and its Poisson homogeneous space - the 2-sphere. Zbl 0719.58042Sheu, Albert Jeu-Liang 38 1991 Momentum mappings and reduction of Poisson actions. Zbl 0735.58004Lu, Jiang-Hua 36 1991 On the Drinfeld double and the Heisenberg double of a Hopf algebra. Zbl 0815.16020Lu, Jiang-Hua 33 1994 Poisson homogeneous spaces and Lie algebroids associated to Poisson actions. Zbl 0889.58036Lu, Jiang-Hua 33 1997 Groupoïdes symplectiques doubles des groupes de Lie-Poisson. (Symplectic double groupoids of Poisson Lie groups). Zbl 0701.58025Lu, Jiang-Hua; Weinstein, Alan 23 1989 On the variety of Lagrangian subalgebras. II. Zbl 1162.17020Evens, Sam; Lu, Jiang-Hua 18 2006 Moment maps at the quantum level. Zbl 0801.17019Lu, Jiang-Hua 16 1993 Poisson cohomology of Morita-equivalent Poisson manifolds. Zbl 0783.58026Ginzburg, Viktor L.; Lu, Jiang-Hua 14 1992 On the variety of Lagrangian subalgebras. I. Zbl 1098.17006Evens, Sam; Lu, Jiang-Hua 14 2001 Group orbits and regular partitions of Poisson manifolds. Zbl 1153.53059Lu, Jiang-Hua; Yakimov, Milen 13 2008 On the nonlinear convexity theorem of Kostant. Zbl 0785.22019Lu, Jiang-Hua; Ratiu, Tudor 12 1991 Classical dynamical \(r\)-matrices and homogeneous Poisson structures on \(G/H\) and \(K/T\). Zbl 1008.53064Lu, Jiang-Hua 12 2000 Poisson geometry of the Grothendieck resolution of a complex semisimple group. Zbl 1148.53061Evens, Sam; Lu, Jiang-Hua 12 2007 Coordinates on Schubert cells, Kostant’s harmonic forms, and the Bruhat Poisson structure on \(G/B\). Zbl 0938.22012Lu, Jiang-Hua 11 1999 Poisson harmonic forms, Kostant harmonic forms, and the \(S^1\)-equivariant cohomology of \(K/T\). Zbl 0914.22009Evens, Sam; Lu, Jiang-Hua 9 1999 On intersections of conjugacy classes and Bruhat cells. Zbl 1207.20042Chan, Kei Yuen; Lu, Jiang-Hua; To, Simon Kai-Ming 8 2010 Quasi-triangular structures on Hopf algebras with positive bases. Zbl 0978.16034Lu, Jiang-Hua; Yan, Min; Zhu, Yongchang 7 2000 On Hopf algebras with positive bases. Zbl 0991.16032Lu, Jiang-Hua; Yan, Min; Zhu, Yongchang 7 2001 Partitions of the wonderful group compactification. Zbl 1144.20028Lu, Jiang-Hua; Yakimov, Milen 7 2007 On the \(T\)-leaves of some Poisson structures related to products of flag varieties. Zbl 1356.53084Lu, Jiang-Hua; Mouquin, Victor 5 2017 A Poisson structure on compact symmetric spaces. Zbl 1067.53062Foth, Philip A.; Lu, Jiang-Hua 5 2004 Double Bruhat cells and symplectic groupoids. Zbl 1416.22013Lu, Jiang-Hua; Mouquin, Victor 5 2018 On a class of double cosets in reductive algebraic groups. Zbl 1066.22019Lu, Jiang-Hua; Yakimov, Milen 4 2005 On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups. Zbl 1246.20040Lu, Jiang-Hua 4 2011 Thompson’s conjecture for real semisimple Lie groups. Zbl 1084.22010Evens, Sam; Lu, Jiang-Hua 4 2005 Mixed product Poisson structures associated to Poisson Lie groups and Lie bialgebras. Zbl 1405.53113Lu, Jiang-Hua; Mouquin, Victor 4 2017 On intersections of certain partitions of a group compactification. Zbl 1253.20049He, Xuhua; Lu, Jiang-Hua 3 2011 Poisson structures on complex flag manifolds associated with real forms. Zbl 1083.53032Foth, Philip; Lu, Jiang-Hua 3 2006 A note on Poisson homogeneous spaces. Zbl 1155.53050Lu, Jiang-Hua 3 2008 Bott-Samelson varieties and Poisson Ore extensions. Zbl 07456033Elek, Balázs; Lu, Jiang-Hua 2 2021 Generalized Bruhat cells and completeness of Hamiltonian flows of Kogan-Zelevinsky integrable systems. Zbl 1459.17050Lu, Jiang-Hua; Mi, Yipeng 2 2018 On the \(T\)-leaves and the ranks of a Poisson structure on twisted conjugacy classes. Zbl 1298.53084Lu, Jiang-Hua 1 2014 Poisson geometry in mathematics and physics. Proceedings of the international conference, Tokyo, Japan, June 5–9, 2006. Zbl 1131.53002 1 2008 Affinoïdes de Poisson. (Affinoid Poisson structures). Zbl 0728.58013Dazord, Pierre; Lu, Jiang-Hua; Sondaz, Daniel; Weinstein, Alan 1 1991 Bott-Samelson varieties and Poisson Ore extensions. Zbl 07456033Elek, Balázs; Lu, Jiang-Hua 2 2021 Double Bruhat cells and symplectic groupoids. Zbl 1416.22013Lu, Jiang-Hua; Mouquin, Victor 5 2018 Generalized Bruhat cells and completeness of Hamiltonian flows of Kogan-Zelevinsky integrable systems. Zbl 1459.17050Lu, Jiang-Hua; Mi, Yipeng 2 2018 On the \(T\)-leaves of some Poisson structures related to products of flag varieties. Zbl 1356.53084Lu, Jiang-Hua; Mouquin, Victor 5 2017 Mixed product Poisson structures associated to Poisson Lie groups and Lie bialgebras. Zbl 1405.53113Lu, Jiang-Hua; Mouquin, Victor 4 2017 On the \(T\)-leaves and the ranks of a Poisson structure on twisted conjugacy classes. Zbl 1298.53084Lu, Jiang-Hua 1 2014 On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups. Zbl 1246.20040Lu, Jiang-Hua 4 2011 On intersections of certain partitions of a group compactification. Zbl 1253.20049He, Xuhua; Lu, Jiang-Hua 3 2011 On intersections of conjugacy classes and Bruhat cells. Zbl 1207.20042Chan, Kei Yuen; Lu, Jiang-Hua; To, Simon Kai-Ming 8 2010 Group orbits and regular partitions of Poisson manifolds. Zbl 1153.53059Lu, Jiang-Hua; Yakimov, Milen 13 2008 A note on Poisson homogeneous spaces. Zbl 1155.53050Lu, Jiang-Hua 3 2008 Poisson geometry in mathematics and physics. Proceedings of the international conference, Tokyo, Japan, June 5–9, 2006. Zbl 1131.53002 1 2008 Poisson geometry of the Grothendieck resolution of a complex semisimple group. Zbl 1148.53061Evens, Sam; Lu, Jiang-Hua 12 2007 Partitions of the wonderful group compactification. Zbl 1144.20028Lu, Jiang-Hua; Yakimov, Milen 7 2007 On the variety of Lagrangian subalgebras. II. Zbl 1162.17020Evens, Sam; Lu, Jiang-Hua 18 2006 Poisson structures on complex flag manifolds associated with real forms. Zbl 1083.53032Foth, Philip; Lu, Jiang-Hua 3 2006 On a class of double cosets in reductive algebraic groups. Zbl 1066.22019Lu, Jiang-Hua; Yakimov, Milen 4 2005 Thompson’s conjecture for real semisimple Lie groups. Zbl 1084.22010Evens, Sam; Lu, Jiang-Hua 4 2005 A Poisson structure on compact symmetric spaces. Zbl 1067.53062Foth, Philip A.; Lu, Jiang-Hua 5 2004 On the variety of Lagrangian subalgebras. I. Zbl 1098.17006Evens, Sam; Lu, Jiang-Hua 14 2001 On Hopf algebras with positive bases. Zbl 0991.16032Lu, Jiang-Hua; Yan, Min; Zhu, Yongchang 7 2001 On the set-theoretical Yang-Baxter equation. Zbl 0960.16043Lu, Jiang-Hua; Yan, Min; Zhu, Yong-Chang 95 2000 Classical dynamical \(r\)-matrices and homogeneous Poisson structures on \(G/H\) and \(K/T\). Zbl 1008.53064Lu, Jiang-Hua 12 2000 Quasi-triangular structures on Hopf algebras with positive bases. Zbl 0978.16034Lu, Jiang-Hua; Yan, Min; Zhu, Yongchang 7 2000 Transverse measures, the modular class and a cohomology pairing for Lie algebroids. Zbl 0968.58014Evens, Sam; Lu, Jiang-Hua; Weinstein, Alan 86 1999 Coordinates on Schubert cells, Kostant’s harmonic forms, and the Bruhat Poisson structure on \(G/B\). Zbl 0938.22012Lu, Jiang-Hua 11 1999 Poisson harmonic forms, Kostant harmonic forms, and the \(S^1\)-equivariant cohomology of \(K/T\). Zbl 0914.22009Evens, Sam; Lu, Jiang-Hua 9 1999 Poisson homogeneous spaces and Lie algebroids associated to Poisson actions. Zbl 0889.58036Lu, Jiang-Hua 33 1997 Hopf algebroids and quantum groupoids. Zbl 0884.17010Lu, Jiang-Hua 86 1996 On the Drinfeld double and the Heisenberg double of a Hopf algebra. Zbl 0815.16020Lu, Jiang-Hua 33 1994 Moment maps at the quantum level. Zbl 0801.17019Lu, Jiang-Hua 16 1993 Poisson cohomology of Morita-equivalent Poisson manifolds. Zbl 0783.58026Ginzburg, Viktor L.; Lu, Jiang-Hua 14 1992 Quantization of the Poisson SU(2) and its Poisson homogeneous space - the 2-sphere. Zbl 0719.58042Sheu, Albert Jeu-Liang 38 1991 Momentum mappings and reduction of Poisson actions. Zbl 0735.58004Lu, Jiang-Hua 36 1991 On the nonlinear convexity theorem of Kostant. Zbl 0785.22019Lu, Jiang-Hua; Ratiu, Tudor 12 1991 Affinoïdes de Poisson. (Affinoid Poisson structures). Zbl 0728.58013Dazord, Pierre; Lu, Jiang-Hua; Sondaz, Daniel; Weinstein, Alan 1 1991 Poisson Lie groups, dressing transformations, and Bruhat decompositions. Zbl 0673.58018Lu, Jiang-Hua; Weinstein, Alan 165 1990 Groupoïdes symplectiques doubles des groupes de Lie-Poisson. (Symplectic double groupoids of Poisson Lie groups). Zbl 0701.58025Lu, Jiang-Hua; Weinstein, Alan 23 1989 all cited Publications top 5 cited Publications all top 5 Cited by 554 Authors 21 Rump, Wolfgang 16 Lu, Jiang-Hua 15 Xu, Ping 11 Stefanelli, Paola 11 Vendramin, Leandro 10 Böhm, Gabriella 10 Catino, Francesco 10 Weinstein, Alan David 9 Fehér, László Gy. 9 Gateva-Ivanova, Tatiana 8 Fernandes, Rui Loja 8 Jespers, Eric 8 Majid, Shahn 8 Militaru, Gigel 8 Stiénon, Mathieu 7 Alekseev, Anton Yur’evich 7 Brzeziński, Tomasz 7 Colazzo, Ilaria 7 Foth, Philip A. 7 Kadison, Lars 7 Mackenzie, Kirill Charles Howard 7 Mehta, Rajan Amit 7 Mrčun, Janez 6 Agore, Ana-Loredana 6 Bonechi, Francesco 6 Bursztyn, Henrique 6 Cedó, Ferran 6 Esen, Oğul 6 He, Xuhua 6 Lebed, Victoria 6 Liu, Zhangju 6 Meljanac, Stjepan 6 Rubtsov, Vladimir Nikolaevich 6 Yakimov, Milen T. 5 Bruzzo, Ugo 5 Caseiro, Raquel 5 Crainic, Marius 5 Grabowski, Janusz 5 Kosmann-Schwarzbach, Yvette 5 Sütlü, Serkan 5 Szlachányi, Kornél 5 Tang, Xiang 5 Wang, Shuanhong 4 Andruskiewitsch, Nicolás 4 Boucetta, Mohamed 4 Chen, Zhuo 4 Ciccoli, Nicola 4 Das, Apurba 4 Donin, Joseph 4 Esposito, Chiara 4 Etingof, Pavel Il’ich 4 Evens, Sam 4 Jotz, Madeleine 4 Kahng, Byung-Jay 4 Laugwitz, Robert 4 Laurent-Gengoux, Camille 4 Mazzotta, Marzia 4 Panaite, Florin 4 Sheu, Albert Jeu-Liang 4 Smoktunowicz, Agata 4 Tarlini, Marco 4 Timmermann, Thomas 4 Zabzine, Maxim 4 Zakrzewski, Stanisław 3 Acri, Emiliano F. 3 Bachiller, David 3 Boalch, Philip P. 3 Borowiec, Andrzej Zdzisław 3 Cahen, Michel 3 Caine, Arlo 3 Chemla, Sophie 3 Drummond, Thiago 3 Ginzburg, Viktor L’vovich 3 Goodearl, Kenneth R. 3 Gualtieri, Marco 3 Gurevich, Dmitrii 3 Gutt, Simone 3 Hodges, Timothy J. 3 Jurčo, Branislav 3 Klimčík, Ctirad 3 Kubarski, Jan 3 Kubat, Łukasz 3 Li, Luen-Chau 3 Malkin, Anton Z. 3 Marrero, Juan Carlos 3 Martínez Torres, David 3 Masuoka, Akira 3 Meinrenken, Eckhard 3 Miranda, Eva 3 Mishra, Satyendra Kumar 3 Montani, H. 3 Mudrov, Andrey I. 3 Mukherjee, Goutam 3 Pachol, Anna 3 Pickrell, Doug 3 Ratiu, Tudor Stefan 3 Safronov, Pavel 3 Semikhatov, Alexei M. 3 Shibukawa, Youichi 3 Škoda, Zoran ...and 454 more Authors all top 5 Cited in 125 Serials 50 Journal of Algebra 47 Communications in Mathematical Physics 43 Advances in Mathematics 42 Journal of Geometry and Physics 23 Communications in Algebra 22 Letters in Mathematical Physics 16 Journal of Pure and Applied Algebra 14 Transformation Groups 13 Journal of Mathematical Physics 13 Transactions of the American Mathematical Society 10 Duke Mathematical Journal 10 Indagationes Mathematicae. New Series 9 International Journal of Mathematics 9 Differential Geometry and its Applications 8 Annales de l’Institut Fourier 8 Journal of Algebra and its Applications 7 Israel Journal of Mathematics 7 Mathematische Annalen 7 Proceedings of the American Mathematical Society 7 Journal of Noncommutative Geometry 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Nuclear Physics. B 5 Pacific Journal of Mathematics 5 Forum Mathematicum 5 Linear Algebra and its Applications 5 Applied Categorical Structures 5 Algebras and Representation Theory 5 Journal of High Energy Physics 4 Reports on Mathematical Physics 4 Theoretical and Mathematical Physics 4 International Journal of Mathematics and Mathematical Sciences 4 Journal of Functional Analysis 4 Mathematische Zeitschrift 4 Journal of Lie Theory 4 International Journal of Geometric Methods in Modern Physics 4 Journal of Geometric Mechanics 3 International Journal of Modern Physics A 3 Journal für die Reine und Angewandte Mathematik 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Topology and its Applications 3 Journal of the American Mathematical Society 3 Publicacions Matemàtiques 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 Annales Henri Poincaré 3 Journal of Nonlinear Mathematical Physics 3 Bulletin of the Brazilian Mathematical Society. New Series 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Physics Letters. B 2 Mathematics of Computation 2 Reviews in Mathematical Physics 2 Monatshefte für Mathematik 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 Communications in Contemporary Mathematics 2 Algebraic & Geometric Topology 2 Central European Journal of Mathematics 2 Mediterranean Journal of Mathematics 2 Journal of Physics A: Mathematical and Theoretical 2 Journal of Homotopy and Related Structures 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 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 Geometriae Dedicata 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series A 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Manuscripta Mathematica 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tokyo Journal of Mathematics 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Annals of Pure and Applied Logic 1 Journal of Symbolic Computation 1 \(K\)-Theory 1 Journal of the Ramanujan Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series ...and 25 more Serials all top 5 Cited in 36 Fields 232 Associative rings and algebras (16-XX) 226 Differential geometry (53-XX) 209 Nonassociative rings and algebras (17-XX) 123 Quantum theory (81-XX) 103 Global analysis, analysis on manifolds (58-XX) 93 Topological groups, Lie groups (22-XX) 72 Group theory and generalizations (20-XX) 56 Dynamical systems and ergodic theory (37-XX) 48 Algebraic geometry (14-XX) 47 Category theory; homological algebra (18-XX) 39 Functional analysis (46-XX) 29 Manifolds and cell complexes (57-XX) 19 Several complex variables and analytic spaces (32-XX) 17 Mechanics of particles and systems (70-XX) 15 Algebraic topology (55-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 10 Commutative algebra (13-XX) 9 Relativity and gravitational theory (83-XX) 8 \(K\)-theory (19-XX) 8 Partial differential equations (35-XX) 7 Combinatorics (05-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Ordinary differential equations (34-XX) 4 Special functions (33-XX) 4 Geometry (51-XX) 3 Mathematical logic and foundations (03-XX) 3 General algebraic systems (08-XX) 3 Number theory (11-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Field theory and polynomials (12-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX) Citations by Year