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Lu, Jiang-Hua

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Author ID: lu.jiang-hua Recent zbMATH articles by "Lu, Jiang-Hua"
Published as: Lu, J.; Lu, Jiang-Hua; Lü, Jianghua
Homepage: http://hkumath.hku.hk/~jhlu/
External Links: MGP · Wikidata · ResearchGate
Documents Indexed: 50 Publications since 1987, including 2 Books

Publications by Year

Citations contained in zbMATH

42 Publications have been cited 698 times in 542 Documents Cited by Year
Poisson Lie groups, dressing transformations, and Bruhat decompositions. Zbl 0673.58018
Lu, Jiang-Hua; Weinstein, Alan
144
1990
Transverse measures, the modular class and a cohomology pairing for Lie algebroids. Zbl 0968.58014
Evens, Sam; Lu, Jiang-Hua; Weinstein, Alan
80
1999
Hopf algebroids and quantum groupoids. Zbl 0884.17010
Lu, Jiang-Hua
80
1996
On the set-theoretical Yang-Baxter equation. Zbl 0960.16043
Lu, Jiang-Hua; Yan, Min; Zhu, Yong-Chang
71
2000
Momentum mappings and reduction of Poisson actions. Zbl 0735.58004
Lu, Jiang-Hua
34
1991
Poisson homogeneous spaces and Lie algebroids associated to Poisson actions. Zbl 0889.58036
Lu, Jiang-Hua
32
1997
On the Drinfeld double and the Heisenberg double of a Hopf algebra. Zbl 0815.16020
Lu, Jiang-Hua
31
1994
Groupoïdes symplectiques doubles des groupes de Lie-Poisson. (Symplectic double groupoids of Poisson Lie groups). Zbl 0701.58025
Lu, Jiang-Hua; Weinstein, Alan
21
1989
On the variety of Lagrangian subalgebras. II. Zbl 1162.17020
Evens, Sam; Lu, Jiang-Hua
17
2006
Poisson cohomology of Morita-equivalent Poisson manifolds. Zbl 0783.58026
Ginzburg, Viktor L.; Lu, Jiang-Hua
17
1992
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
12
2007
On the nonlinear convexity theorem of Kostant. Zbl 0785.22019
Lu, Jiang-Hua; Ratiu, Tudor
12
1991
Group orbits and regular partitions of Poisson manifolds. Zbl 1153.53059
Lu, Jiang-Hua; Yakimov, Milen
11
2008
Moment maps at the quantum level. Zbl 0801.17019
Lu, Jiang-Hua
11
1993
Classical dynamical \(r\)-matrices and homogeneous Poisson structures on \(G/H\) and \(K/T\). Zbl 1008.53064
Lu, Jiang-Hua
10
2000
Poisson harmonic forms, Kostant harmonic forms, and the \(S^1\)-equivariant cohomology of \(K/T\). Zbl 0914.22009
Evens, Sam; Lu, Jiang-Hua
10
1999
Coordinates on Schubert cells, Kostant’s harmonic forms, and the Bruhat Poisson structure on \(G/B\). Zbl 0938.22012
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
8
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
6
2000
Geometrical modeling of granular structures in two and three dimensions. Application to nanostructures. Zbl 1176.74051
Benabbou, A.; Borouchaki, H.; Laug, P.; Lu, J.
5
2009
A Poisson structure on compact symmetric spaces. Zbl 1067.53062
Foth, Philip A.; Lu, Jiang-Hua
5
2004
On Hopf algebras with positive bases. Zbl 0991.16032
Lu, Jiang-Hua; Yan, Min; Zhu, Yongchang
5
2001
On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups. Zbl 1246.20040
Lu, Jiang-Hua
4
2011
On a class of double cosets in reductive algebraic groups. Zbl 1066.22019
Lu, Jiang-Hua; Yakimov, Milen
4
2005
Load share and finite element stress analysis for double circular-arc helical gears. Zbl 0835.73064
Lu, J.; Litvin, F. L.; Chen, J. S.
4
1995
Double Bruhat cells and symplectic groupoids. Zbl 1416.22013
Lu, Jiang-Hua; Mouquin, Victor
3
2018
Robust vehicle routing problem with hard time windows under demand and travel time uncertainty. Zbl 1391.90064
Hu, C.; Lu, J.; Liu, X.; Zhang, G.
3
2018
On the \(T\)-leaves of some Poisson structures related to products of flag varieties. Zbl 1356.53084
Lu, Jiang-Hua; Mouquin, Victor
3
2017
A note on Poisson homogeneous spaces. Zbl 1155.53050
Lu, Jiang-Hua
3
2008
Poisson structures on complex flag manifolds associated with real forms. Zbl 1083.53032
Foth, Philip; Lu, Jiang-Hua
3
2006
Thompson’s conjecture for real semisimple Lie groups. Zbl 1084.22010
Evens, Sam; Lu, Jiang-Hua
3
2005
Numerical simulation of laser-induced transient temperature field in film-substrate system by finite element method. Zbl 1048.80009
Xu, B. Q.; Shen, Z. H.; Lu, J.; Ni, X. W.; Zhang, S. Y.
3
2003
Computerized design and generation of double circular-arc helical gears with low transmission errors. Zbl 0865.70002
Litvin, F. L.; Lu, J.
3
1995
Mixed product Poisson structures associated to Poisson Lie groups and Lie bialgebras. Zbl 1405.53113
Lu, Jiang-Hua; Mouquin, Victor
2
2017
On intersections of certain partitions of a group compactification. Zbl 1253.20049
He, Xuhua; Lu, Jiang-Hua
2
2011
Generalized Bruhat cells and completeness of Hamiltonian flows of Kogan-Zelevinsky integrable systems. Zbl 07065404
Lu, Jiang-Hua; Mi, Yipeng
1
2018
Large eddy simulation of flow and mass exchange in an embayment with or without vegetation. Zbl 07162925
Lu, J.; Dai, H. C.
1
2016
On the \(T\)-leaves and the ranks of a Poisson structure on twisted conjugacy classes. Zbl 1298.53084
Lu, Jiang-Hua
1
2014
Poisson geometry in mathematics and physics. Proceedings of the international conference, Tokyo, Japan, June 5–9, 2006. Zbl 1131.53002
Dito, Giuseppe (ed.); Lu, Jiang-Hua (ed.); Maeda, Yoshiaki (ed.); Weinstein, Alan (ed.)
1
2008
Affinoïdes de Poisson. (Affinoid Poisson structures). Zbl 0728.58013
Dazord, Pierre; Lu, Jiang-Hua; Sondaz, Daniel; Weinstein, Alan
1
1991
Double Bruhat cells and symplectic groupoids. Zbl 1416.22013
Lu, Jiang-Hua; Mouquin, Victor
3
2018
Robust vehicle routing problem with hard time windows under demand and travel time uncertainty. Zbl 1391.90064
Hu, C.; Lu, J.; Liu, X.; Zhang, G.
3
2018
Generalized Bruhat cells and completeness of Hamiltonian flows of Kogan-Zelevinsky integrable systems. Zbl 07065404
Lu, Jiang-Hua; Mi, Yipeng
1
2018
On the \(T\)-leaves of some Poisson structures related to products of flag varieties. Zbl 1356.53084
Lu, Jiang-Hua; Mouquin, Victor
3
2017
Mixed product Poisson structures associated to Poisson Lie groups and Lie bialgebras. Zbl 1405.53113
Lu, Jiang-Hua; Mouquin, Victor
2
2017
Large eddy simulation of flow and mass exchange in an embayment with or without vegetation. Zbl 07162925
Lu, J.; Dai, H. C.
1
2016
On the \(T\)-leaves and the ranks of a Poisson structure on twisted conjugacy classes. Zbl 1298.53084
Lu, Jiang-Hua
1
2014
On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups. Zbl 1246.20040
Lu, Jiang-Hua
4
2011
On intersections of certain partitions of a group compactification. Zbl 1253.20049
He, Xuhua; Lu, Jiang-Hua
2
2011
On intersections of conjugacy classes and Bruhat cells. Zbl 1207.20042
Chan, Kei Yuen; Lu, Jiang-Hua; To, Simon Kai-Ming
8
2010
Geometrical modeling of granular structures in two and three dimensions. Application to nanostructures. Zbl 1176.74051
Benabbou, A.; Borouchaki, H.; Laug, P.; Lu, J.
5
2009
Group orbits and regular partitions of Poisson manifolds. Zbl 1153.53059
Lu, Jiang-Hua; Yakimov, Milen
11
2008
A note on Poisson homogeneous spaces. Zbl 1155.53050
Lu, Jiang-Hua
3
2008
Poisson geometry in mathematics and physics. Proceedings of the international conference, Tokyo, Japan, June 5–9, 2006. Zbl 1131.53002
Dito, Giuseppe (ed.); Lu, Jiang-Hua (ed.); Maeda, Yoshiaki (ed.); Weinstein, Alan (ed.)
1
2008
Poisson geometry of the Grothendieck resolution of a complex semisimple group. Zbl 1148.53061
Evens, Sam; Lu, Jiang-Hua
12
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
17
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
3
2005
A Poisson structure on compact symmetric spaces. Zbl 1067.53062
Foth, Philip A.; Lu, Jiang-Hua
5
2004
Numerical simulation of laser-induced transient temperature field in film-substrate system by finite element method. Zbl 1048.80009
Xu, B. Q.; Shen, Z. H.; Lu, J.; Ni, X. W.; Zhang, S. Y.
3
2003
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
5
2001
On the set-theoretical Yang-Baxter equation. Zbl 0960.16043
Lu, Jiang-Hua; Yan, Min; Zhu, Yong-Chang
71
2000
Classical dynamical \(r\)-matrices and homogeneous Poisson structures on \(G/H\) and \(K/T\). Zbl 1008.53064
Lu, Jiang-Hua
10
2000
Quasi-triangular structures on Hopf algebras with positive bases. Zbl 0978.16034
Lu, Jiang-Hua; Yan, Min; Zhu, Yongchang
6
2000
Transverse measures, the modular class and a cohomology pairing for Lie algebroids. Zbl 0968.58014
Evens, Sam; Lu, Jiang-Hua; Weinstein, Alan
80
1999
Poisson harmonic forms, Kostant harmonic forms, and the \(S^1\)-equivariant cohomology of \(K/T\). Zbl 0914.22009
Evens, Sam; Lu, Jiang-Hua
10
1999
Coordinates on Schubert cells, Kostant’s harmonic forms, and the Bruhat Poisson structure on \(G/B\). Zbl 0938.22012
Lu, Jiang-Hua
9
1999
Poisson homogeneous spaces and Lie algebroids associated to Poisson actions. Zbl 0889.58036
Lu, Jiang-Hua
32
1997
Hopf algebroids and quantum groupoids. Zbl 0884.17010
Lu, Jiang-Hua
80
1996
Load share and finite element stress analysis for double circular-arc helical gears. Zbl 0835.73064
Lu, J.; Litvin, F. L.; Chen, J. S.
4
1995
Computerized design and generation of double circular-arc helical gears with low transmission errors. Zbl 0865.70002
Litvin, F. L.; Lu, J.
3
1995
On the Drinfeld double and the Heisenberg double of a Hopf algebra. Zbl 0815.16020
Lu, Jiang-Hua
31
1994
Moment maps at the quantum level. Zbl 0801.17019
Lu, Jiang-Hua
11
1993
Poisson cohomology of Morita-equivalent Poisson manifolds. Zbl 0783.58026
Ginzburg, Viktor L.; Lu, Jiang-Hua
17
1992
Momentum mappings and reduction of Poisson actions. Zbl 0735.58004
Lu, Jiang-Hua
34
1991
On the nonlinear convexity theorem of Kostant. Zbl 0785.22019
Lu, Jiang-Hua; Ratiu, Tudor
12
1991
Affinoïdes de Poisson. (Affinoid Poisson structures). Zbl 0728.58013
Dazord, Pierre; Lu, Jiang-Hua; Sondaz, Daniel; Weinstein, Alan
1
1991
Poisson Lie groups, dressing transformations, and Bruhat decompositions. Zbl 0673.58018
Lu, Jiang-Hua; Weinstein, Alan
144
1990
Groupoïdes symplectiques doubles des groupes de Lie-Poisson. (Symplectic double groupoids of Poisson Lie groups). Zbl 0701.58025
Lu, Jiang-Hua; Weinstein, Alan
21
1989
all top 5

Cited by 564 Authors

18 Lu, Jiang-Hua
15 Rump, Wolfgang
15 Xu, Ping
10 Böhm, Gabriella
9 Weinstein, Alan David
8 Fernandes, Rui Loja
8 Gateva-Ivanova, Tatiana
8 Majid, Shahn
8 Stiénon, Mathieu
8 Vendramin, Leandro
7 Foth, Philip A.
7 Kadison, Lars
7 Mackenzie, Kirill Charles Howard
7 Meljanac, Stjepan
7 Militaru, Gigel
6 Brzeziński, Tomasz
6 Mehta, Rajan Amit
6 Mrčun, Janez
6 Rubtsov, Vladimir Nikolaevich
6 Yakimov, Milen T.
5 Agore, Ana-Loredana
5 Bonechi, Francesco
5 Bruzzo, Ugo
5 Bursztyn, Henrique
5 Catino, Francesco
5 Colazzo, Ilaria
5 Crainic, Marius
5 Grabowski, Janusz
5 He, Xuhua
5 Jespers, Eric
5 Kosmann-Schwarzbach, Yvette
5 Lebed, Victoria
5 Liu, Zhangju
5 Stefanelli, Paola
5 Szlachányi, Kornél
5 Tang, Xiang
5 Wang, Shuanhong
4 Alekseev, Anton Yu.
4 Andruskiewitsch, Nicolás
4 Boucetta, Mohamed
4 Caseiro, Raquel
4 Cedó, Ferran
4 Chen, Zhuo
4 Ciccoli, Nicola
4 Donin, Joseph
4 Esen, Oğul
4 Esposito, Chiara
4 Etingof, Pavel Il’ich
4 Evens, Sam
4 Fehér, László Gy.
4 Fehér, László M.
4 Jotz, Madeleine
4 Kahng, Byung-Jay
4 Marrero, Juan Carlos
4 Panaite, Florin
4 Sheu, Albert Jeu-Liang
4 Smoktunowicz, Agata
4 Timmermann, Thomas
4 Zabzine, Maxim
4 Zakrzewski, Stanisław
3 Bachiller, David
3 Boalch, Philip P.
3 Cahen, Michel
3 Chemla, Sophie
3 Das, Apurba
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 Kubarski, Jan
3 Laugwitz, Robert
3 Laurent-Gengoux, Camille
3 Malkin, Anton Z.
3 Masuoka, Akira
3 Meinrenken, Eckhard
3 Miranda, Eva
3 Montani, H.
3 Mouquin, Victor
3 Mudrov, Andrey I.
3 Pachol, Anna
3 Pickrell, Doug
3 Ratiu, Tudor Stefan
3 Semikhatov, Alexei M.
3 Shibukawa, Youichi
3 Šťovíček, Pavel
3 Štrajn, Rina
3 Sütlü, Serkan
3 Tarlini, Marco
3 Van Daele, Alfons
3 van Oystaeyen, Freddy
3 Xu, Xiaomeng
3 Zambon, Marco
2 Acri, Emiliano F.
2 Andrada, Adrián
2 Ardizzoni, Alessandro
2 Balcerzak, Bogdan
...and 464 more Authors
all top 5

Cited in 124 Serials

44 Communications in Mathematical Physics
43 Journal of Algebra
39 Advances in Mathematics
37 Journal of Geometry and Physics
21 Communications in Algebra
21 Letters in Mathematical Physics
16 Journal of Pure and Applied Algebra
13 Transactions of the American Mathematical Society
13 Transformation Groups
11 Journal of Mathematical Physics
10 Duke Mathematical Journal
9 International Journal of Mathematics
9 Indagationes Mathematicae. New Series
8 Annales de l’Institut Fourier
8 Differential Geometry 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
6 Journal of Algebra and its Applications
5 Nuclear Physics. B
5 Applied Categorical Structures
4 Reports on Mathematical Physics
4 Theoretical and Mathematical Physics
4 International Journal of Mathematics and Mathematical Sciences
4 Journal of Functional Analysis
4 Pacific Journal of Mathematics
4 Topology and its Applications
4 Algebras and Representation Theory
4 Mechanism and Machine Theory
4 Journal of High Energy Physics
4 International Journal of Geometric Methods in Modern Physics
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 International Journal of Modern Physics A
3 Computer Methods in Applied Mechanics and Engineering
3 Journal für die Reine und Angewandte Mathematik
3 Mathematische Zeitschrift
3 Journal of the American Mathematical Society
3 Forum Mathematicum
3 Linear Algebra and its Applications
3 Annales de l’Institut Henri Poincaré. Physique Théorique
3 Journal of Mathematical Sciences (New York)
3 St. Petersburg Mathematical Journal
3 Journal of Lie Theory
3 Representation Theory
3 Bulletin of the Brazilian Mathematical Society. New Series
2 Physics Letters. B
2 Monatshefte für Mathematik
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Tohoku Mathematical Journal. Second Series
2 Science in China. Series A
2 International Journal of Algebra and Computation
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Journal of Knot Theory and its Ramifications
2 Selecta Mathematica. New Series
2 Journal of the European Mathematical Society (JEMS)
2 Communications in Contemporary Mathematics
2 Annales Henri Poincaré
2 Journal of Nonlinear Mathematical Physics
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 Modern Physics Letters A
1 Computers & Mathematics with Applications
1 International Journal of Heat and Mass Transfer
1 Journal of Computational Physics
1 Journal of Statistical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physics Letters. A
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 Mathematics of Computation
1 Reviews in Mathematical Physics
1 Archiv der Mathematik
1 Compositio Mathematica
1 Czechoslovak Mathematical Journal
1 Functional Analysis and its Applications
1 International Journal for Numerical Methods in Engineering
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 Semigroup Forum
1 Tokyo Journal of Mathematics
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Journal of Symbolic Computation
1 \(K\)-Theory
1 Computers & Operations Research
1 Mathematical and Computer Modelling
1 Geometric and Functional Analysis. GAFA
1 Applied Mathematical Modelling
1 European Journal of Operational Research
1 Bulletin of the American Mathematical Society. New Series
...and 24 more Serials
all top 5

Cited in 42 Fields

204 Differential geometry (53-XX)
196 Associative rings and algebras (16-XX)
184 Nonassociative rings and algebras (17-XX)
107 Quantum theory (81-XX)
93 Global analysis, analysis on manifolds (58-XX)
84 Topological groups, Lie groups (22-XX)
58 Group theory and generalizations (20-XX)
50 Dynamical systems and ergodic theory (37-XX)
40 Algebraic geometry (14-XX)
39 Category theory; homological algebra (18-XX)
38 Functional analysis (46-XX)
26 Manifolds and cell complexes (57-XX)
21 Mechanics of particles and systems (70-XX)
17 Several complex variables and analytic spaces (32-XX)
13 Algebraic topology (55-XX)
8 Order, lattices, ordered algebraic structures (06-XX)
7 Commutative algebra (13-XX)
7 Relativity and gravitational theory (83-XX)
6 Combinatorics (05-XX)
6 \(K\)-theory (19-XX)
6 Ordinary differential equations (34-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Partial differential equations (35-XX)
5 Geometry (51-XX)
5 Numerical analysis (65-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Special functions (33-XX)
4 Convex and discrete geometry (52-XX)
3 General algebraic systems (08-XX)
2 Mathematical logic and foundations (03-XX)
2 Field theory and polynomials (12-XX)
2 Operator theory (47-XX)
2 Mechanics of deformable solids (74-XX)
2 Fluid mechanics (76-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Operations research, mathematical programming (90-XX)
1 General and overarching topics; collections (00-XX)
1 Number theory (11-XX)
1 Sequences, series, summability (40-XX)
1 Computer science (68-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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