## Lu, Jiang-Hua

Compute Distance To:
 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
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### 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
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### 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
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### 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)

### 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 0673.58018
Lu, Jiang-Hua; Weinstein, Alan
1990
On the set-theoretical Yang-Baxter equation. Zbl 0960.16043
Lu, Jiang-Hua; Yan, Min; Zhu, Yong-Chang
2000
Hopf algebroids and quantum groupoids. Zbl 0884.17010
Lu, Jiang-Hua
1996
Transverse measures, the modular class and a cohomology pairing for Lie algebroids. Zbl 0968.58014
Evens, Sam; Lu, Jiang-Hua; Weinstein, Alan
1999
Quantization of the Poisson SU(2) and its Poisson homogeneous space - the 2-sphere. Zbl 0719.58042
Sheu, Albert Jeu-Liang
1991
Momentum mappings and reduction of Poisson actions. Zbl 0735.58004
Lu, Jiang-Hua
1991
On the Drinfeld double and the Heisenberg double of a Hopf algebra. Zbl 0815.16020
Lu, Jiang-Hua
1994
Poisson homogeneous spaces and Lie algebroids associated to Poisson actions. Zbl 0889.58036
Lu, Jiang-Hua
1997
Groupoïdes symplectiques doubles des groupes de Lie-Poisson. (Symplectic double groupoids of Poisson Lie groups). Zbl 0701.58025
Lu, Jiang-Hua; Weinstein, Alan
1989
On the variety of Lagrangian subalgebras. II. Zbl 1162.17020
Evens, Sam; Lu, Jiang-Hua
2006
Moment maps at the quantum level. Zbl 0801.17019
Lu, Jiang-Hua
1993
Poisson cohomology of Morita-equivalent Poisson manifolds. Zbl 0783.58026
Ginzburg, Viktor L.; Lu, Jiang-Hua
1992
On the variety of Lagrangian subalgebras. I. Zbl 1098.17006
Evens, Sam; Lu, Jiang-Hua
2001
Group orbits and regular partitions of Poisson manifolds. Zbl 1153.53059
Lu, Jiang-Hua; Yakimov, Milen
2008
On the nonlinear convexity theorem of Kostant. Zbl 0785.22019
Lu, Jiang-Hua; Ratiu, Tudor
1991
Classical dynamical $$r$$-matrices and homogeneous Poisson structures on $$G/H$$ and $$K/T$$. Zbl 1008.53064
Lu, Jiang-Hua
2000
Poisson geometry of the Grothendieck resolution of a complex semisimple group. Zbl 1148.53061
Evens, Sam; Lu, Jiang-Hua
2007
Coordinates on Schubert cells, Kostant’s harmonic forms, and the Bruhat Poisson structure on $$G/B$$. Zbl 0938.22012
Lu, Jiang-Hua
1999
Poisson harmonic forms, Kostant harmonic forms, and the $$S^1$$-equivariant cohomology of $$K/T$$. Zbl 0914.22009
Evens, Sam; Lu, Jiang-Hua
1999
On intersections of conjugacy classes and Bruhat cells. Zbl 1207.20042
Chan, Kei Yuen; Lu, Jiang-Hua; To, Simon Kai-Ming
2010
Quasi-triangular structures on Hopf algebras with positive bases. Zbl 0978.16034
Lu, Jiang-Hua; Yan, Min; Zhu, Yongchang
2000
On Hopf algebras with positive bases. Zbl 0991.16032
Lu, Jiang-Hua; Yan, Min; Zhu, Yongchang
2001
Partitions of the wonderful group compactification. Zbl 1144.20028
Lu, Jiang-Hua; Yakimov, Milen
2007
On the $$T$$-leaves of some Poisson structures related to products of flag varieties. Zbl 1356.53084
Lu, Jiang-Hua; Mouquin, Victor
2017
A Poisson structure on compact symmetric spaces. Zbl 1067.53062
Foth, Philip A.; Lu, Jiang-Hua
2004
Double Bruhat cells and symplectic groupoids. Zbl 1416.22013
Lu, Jiang-Hua; Mouquin, Victor
2018
On a class of double cosets in reductive algebraic groups. Zbl 1066.22019
Lu, Jiang-Hua; Yakimov, Milen
2005
On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups. Zbl 1246.20040
Lu, Jiang-Hua
2011
Thompson’s conjecture for real semisimple Lie groups. Zbl 1084.22010
Evens, Sam; Lu, Jiang-Hua
2005
Mixed product Poisson structures associated to Poisson Lie groups and Lie bialgebras. Zbl 1405.53113
Lu, Jiang-Hua; Mouquin, Victor
2017
On intersections of certain partitions of a group compactification. Zbl 1253.20049
He, Xuhua; Lu, Jiang-Hua
2011
Poisson structures on complex flag manifolds associated with real forms. Zbl 1083.53032
Foth, Philip; Lu, Jiang-Hua
2006
A note on Poisson homogeneous spaces. Zbl 1155.53050
Lu, Jiang-Hua
2008
Bott-Samelson varieties and Poisson Ore extensions. Zbl 07456033
Elek, Balázs; Lu, Jiang-Hua
2021
Generalized Bruhat cells and completeness of Hamiltonian flows of Kogan-Zelevinsky integrable systems. Zbl 1459.17050
Lu, Jiang-Hua; Mi, Yipeng
2018
On the $$T$$-leaves and the ranks of a Poisson structure on twisted conjugacy classes. Zbl 1298.53084
Lu, Jiang-Hua
2014
Poisson geometry in mathematics and physics. Proceedings of the international conference, Tokyo, Japan, June 5–9, 2006. Zbl 1131.53002
2008
Affinoïdes de Poisson. (Affinoid Poisson structures). Zbl 0728.58013
Dazord, Pierre; Lu, Jiang-Hua; Sondaz, Daniel; Weinstein, Alan
1991
Bott-Samelson varieties and Poisson Ore extensions. Zbl 07456033
Elek, Balázs; Lu, Jiang-Hua
2021
Double Bruhat cells and symplectic groupoids. Zbl 1416.22013
Lu, Jiang-Hua; Mouquin, Victor
2018
Generalized Bruhat cells and completeness of Hamiltonian flows of Kogan-Zelevinsky integrable systems. Zbl 1459.17050
Lu, Jiang-Hua; Mi, Yipeng
2018
On the $$T$$-leaves of some Poisson structures related to products of flag varieties. Zbl 1356.53084
Lu, Jiang-Hua; Mouquin, Victor
2017
Mixed product Poisson structures associated to Poisson Lie groups and Lie bialgebras. Zbl 1405.53113
Lu, Jiang-Hua; Mouquin, Victor
2017
On the $$T$$-leaves and the ranks of a Poisson structure on twisted conjugacy classes. Zbl 1298.53084
Lu, Jiang-Hua
2014
On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups. Zbl 1246.20040
Lu, Jiang-Hua
2011
On intersections of certain partitions of a group compactification. Zbl 1253.20049
He, Xuhua; Lu, Jiang-Hua
2011
On intersections of conjugacy classes and Bruhat cells. Zbl 1207.20042
Chan, Kei Yuen; Lu, Jiang-Hua; To, Simon Kai-Ming
2010
Group orbits and regular partitions of Poisson manifolds. Zbl 1153.53059
Lu, Jiang-Hua; Yakimov, Milen
2008
A note on Poisson homogeneous spaces. Zbl 1155.53050
Lu, Jiang-Hua
2008
Poisson geometry in mathematics and physics. Proceedings of the international conference, Tokyo, Japan, June 5–9, 2006. Zbl 1131.53002
2008
Poisson geometry of the Grothendieck resolution of a complex semisimple group. Zbl 1148.53061
Evens, Sam; Lu, Jiang-Hua
2007
Partitions of the wonderful group compactification. Zbl 1144.20028
Lu, Jiang-Hua; Yakimov, Milen
2007
On the variety of Lagrangian subalgebras. II. Zbl 1162.17020
Evens, Sam; Lu, Jiang-Hua
2006
Poisson structures on complex flag manifolds associated with real forms. Zbl 1083.53032
Foth, Philip; Lu, Jiang-Hua
2006
On a class of double cosets in reductive algebraic groups. Zbl 1066.22019
Lu, Jiang-Hua; Yakimov, Milen
2005
Thompson’s conjecture for real semisimple Lie groups. Zbl 1084.22010
Evens, Sam; Lu, Jiang-Hua
2005
A Poisson structure on compact symmetric spaces. Zbl 1067.53062
Foth, Philip A.; Lu, Jiang-Hua
2004
On the variety of Lagrangian subalgebras. I. Zbl 1098.17006
Evens, Sam; Lu, Jiang-Hua
2001
On Hopf algebras with positive bases. Zbl 0991.16032
Lu, Jiang-Hua; Yan, Min; Zhu, Yongchang
2001
On the set-theoretical Yang-Baxter equation. Zbl 0960.16043
Lu, Jiang-Hua; Yan, Min; Zhu, Yong-Chang
2000
Classical dynamical $$r$$-matrices and homogeneous Poisson structures on $$G/H$$ and $$K/T$$. Zbl 1008.53064
Lu, Jiang-Hua
2000
Quasi-triangular structures on Hopf algebras with positive bases. Zbl 0978.16034
Lu, Jiang-Hua; Yan, Min; Zhu, Yongchang
2000
Transverse measures, the modular class and a cohomology pairing for Lie algebroids. Zbl 0968.58014
Evens, Sam; Lu, Jiang-Hua; Weinstein, Alan
1999
Coordinates on Schubert cells, Kostant’s harmonic forms, and the Bruhat Poisson structure on $$G/B$$. Zbl 0938.22012
Lu, Jiang-Hua
1999
Poisson harmonic forms, Kostant harmonic forms, and the $$S^1$$-equivariant cohomology of $$K/T$$. Zbl 0914.22009
Evens, Sam; Lu, Jiang-Hua
1999
Poisson homogeneous spaces and Lie algebroids associated to Poisson actions. Zbl 0889.58036
Lu, Jiang-Hua
1997
Hopf algebroids and quantum groupoids. Zbl 0884.17010
Lu, Jiang-Hua
1996
On the Drinfeld double and the Heisenberg double of a Hopf algebra. Zbl 0815.16020
Lu, Jiang-Hua
1994
Moment maps at the quantum level. Zbl 0801.17019
Lu, Jiang-Hua
1993
Poisson cohomology of Morita-equivalent Poisson manifolds. Zbl 0783.58026
Ginzburg, Viktor L.; Lu, Jiang-Hua
1992
Quantization of the Poisson SU(2) and its Poisson homogeneous space - the 2-sphere. Zbl 0719.58042
Sheu, Albert Jeu-Liang
1991
Momentum mappings and reduction of Poisson actions. Zbl 0735.58004
Lu, Jiang-Hua
1991
On the nonlinear convexity theorem of Kostant. Zbl 0785.22019
Lu, Jiang-Hua; Ratiu, Tudor
1991
Affinoïdes de Poisson. (Affinoid Poisson structures). Zbl 0728.58013
Dazord, Pierre; Lu, Jiang-Hua; Sondaz, Daniel; Weinstein, Alan
1991
Poisson Lie groups, dressing transformations, and Bruhat decompositions. Zbl 0673.58018
Lu, Jiang-Hua; Weinstein, Alan
1990
Groupoïdes symplectiques doubles des groupes de Lie-Poisson. (Symplectic double groupoids of Poisson Lie groups). Zbl 0701.58025
Lu, Jiang-Hua; Weinstein, Alan
1989
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### 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
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### 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
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### 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)