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## Wilson, George

Compute Distance To:
 Author ID: wilson.george Published as: Wilson, G.; Wilson, George
 Documents Indexed: 40 Publications since 1898, including 1 Book

#### Co-Authors

 11 single-authored 6 Berest, Yuri Yu. 2 Kupershmidt, Boris A. 2 Previato, Emma 2 Segal, Graeme B.
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#### Serials

 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Inventiones Mathematicae 2 IMRN. International Mathematics Research Notices 1 Communications in Mathematical Physics 1 Physics Letters. A 1 Advances in Mathematics 1 Compositio Mathematica 1 Publications Mathématiques 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Ergodic Theory and Dynamical Systems 1 Comptes Rendus de l’Académie des Sciences. Série I 1 The Quarterly Journal of Mathematics
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#### Fields

 14 Partial differential equations (35-XX) 13 Algebraic geometry (14-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Associative rings and algebras (16-XX) 3 Commutative algebra (13-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Nonassociative rings and algebras (17-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

33 Publications have been cited 979 times in 746 Documents Cited by Year
Loop groups and equations of KdV type. Zbl 0592.35112
Segal, Graeme; Wilson, George
1985
Modifying Lax equations and the second Hamiltonian structure. Zbl 0464.35024
Kupershmidt, B. A.; Wilson, George
1981
Collisions of Calogero-Moser particles and an adelic Grassmannian (with an appendix by I. G. Macdonald). Zbl 0906.35089
Wilson, George
1998
Commuting flows and conservation laws for Lax equations. Zbl 0427.35024
Wilson, George
1979
Factorization of the covariance generating function of a pure moving average process. Zbl 0176.46401
Wilson, G.
1969
Hilbert’s sixteenth problem. Zbl 0394.57001
Wilson, George
1978
The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras. Zbl 0495.58008
Wilson, George
1981
Bispectral commutative ordinary differential operators. Zbl 0781.34051
Wilson, George
1993
Automorphisms and ideals of the Weyl algebra. Zbl 0983.16021
Berest, Yuri; Wilson, George
2000
On the quasi-Hamiltonian formalism of the KdV equation. Zbl 0978.35055
Wilson, George
1988
On two constructions of conservation laws for Lax equations. Zbl 0477.35079
Wilson, George
1981
Infinite-dimensional Lie groups and algebraic geometry in soliton theory. Zbl 0582.35103
Wilson, G.
1985
Ideal classes of the Weyl algebra and noncommutative projective geometry (with an appendix by Michel Van den Bergh). Zbl 1055.16030
Berest, Yuri; Wilson, George
2002
Conservation laws and symmetries of generalized sine-Gordon equations. Zbl 0487.35078
Kupershmidt, B. A.; Wilson, George
1981
On the antiplectic pair connected with the Adler-Gel’fand-Dikii bracket. Zbl 0761.58023
Wilson, George
1992
Differential operators and rank 2 bundles over elliptic curves. Zbl 0758.47038
Previato, Emma; Wilson, George
1992
Classification of rings of differential operators on affine curves. Zbl 0957.14013
Berest, Yuri; Wilson, George
1999
Habillage et fonctions $$\tau$$ . (Dressing and $$\tau$$-functions). Zbl 0564.35086
Wilson, George
1984
Loop groups and equations of KdV type. Zbl 0939.35163
Segal, Graeme; Wilson, George
1998
Algebraic curves and soliton equations. Zbl 0581.35065
Wilson, George
1985
K-theory invariants for unitary G-bordism. Zbl 0269.55004
Wilson, George
1973
Differential isomorphism and equivalence of algebraic varieties. Zbl 1166.16307
Berest, Yuri; Wilson, George
2004
On antiplectic pairs in the Hamiltonian formalism of evolution equations. Zbl 0755.58030
Wilson, George
1991
Vector bundles over curves and solutions of the KP equations. Zbl 0697.35128
Previato, Emma; Wilson, George
1989
On the Adler-Gel’fand-Dickey bracket. Zbl 0737.35111
Wilson, George
1990
The $$\tau$$-functions of the $${\mathfrak g}$$AKNS equations. Zbl 0835.58022
Wilson, George
1993
Mad subalgebras of rings of differential operators on curves. Zbl 1119.16024
Berest, Yuri; Wilson, George
2007
Wilson, George
1986
Differential operators on an affine curve: ideal classes and Picard groups. Zbl 1261.14020
Berest, Yuri; Wilson, George
2011
Bispectral symmetry, the Weyl algebra and differential operators on curves. Zbl 1037.14013
Wilson, G.
1999
Scheduling multi-purpose batch plants with junction constraints. Zbl 0924.90079
Dessouky, Y. M.; Roberts, C. A.; Dessouky, M. M.; Wilson, G.
1996
Morphisms between preprojective modules over hereditary Artin algebras. Zbl 0503.16023
Wilson, G.; Zacharia, D.
1983
Hamiltonian and algebro-geometric integrals of stationary equations of KdV type. Zbl 0431.35076
Wilson, George
1980
Differential operators on an affine curve: ideal classes and Picard groups. Zbl 1261.14020
Berest, Yuri; Wilson, George
2011
Mad subalgebras of rings of differential operators on curves. Zbl 1119.16024
Berest, Yuri; Wilson, George
2007
Differential isomorphism and equivalence of algebraic varieties. Zbl 1166.16307
Berest, Yuri; Wilson, George
2004
Ideal classes of the Weyl algebra and noncommutative projective geometry (with an appendix by Michel Van den Bergh). Zbl 1055.16030
Berest, Yuri; Wilson, George
2002
Automorphisms and ideals of the Weyl algebra. Zbl 0983.16021
Berest, Yuri; Wilson, George
2000
Classification of rings of differential operators on affine curves. Zbl 0957.14013
Berest, Yuri; Wilson, George
1999
Bispectral symmetry, the Weyl algebra and differential operators on curves. Zbl 1037.14013
Wilson, G.
1999
Collisions of Calogero-Moser particles and an adelic Grassmannian (with an appendix by I. G. Macdonald). Zbl 0906.35089
Wilson, George
1998
Loop groups and equations of KdV type. Zbl 0939.35163
Segal, Graeme; Wilson, George
1998
Scheduling multi-purpose batch plants with junction constraints. Zbl 0924.90079
Dessouky, Y. M.; Roberts, C. A.; Dessouky, M. M.; Wilson, G.
1996
Bispectral commutative ordinary differential operators. Zbl 0781.34051
Wilson, George
1993
The $$\tau$$-functions of the $${\mathfrak g}$$AKNS equations. Zbl 0835.58022
Wilson, George
1993
On the antiplectic pair connected with the Adler-Gel’fand-Dikii bracket. Zbl 0761.58023
Wilson, George
1992
Differential operators and rank 2 bundles over elliptic curves. Zbl 0758.47038
Previato, Emma; Wilson, George
1992
On antiplectic pairs in the Hamiltonian formalism of evolution equations. Zbl 0755.58030
Wilson, George
1991
On the Adler-Gel’fand-Dickey bracket. Zbl 0737.35111
Wilson, George
1990
Vector bundles over curves and solutions of the KP equations. Zbl 0697.35128
Previato, Emma; Wilson, George
1989
On the quasi-Hamiltonian formalism of the KdV equation. Zbl 0978.35055
Wilson, George
1988
Wilson, George
1986
Loop groups and equations of KdV type. Zbl 0592.35112
Segal, Graeme; Wilson, George
1985
Infinite-dimensional Lie groups and algebraic geometry in soliton theory. Zbl 0582.35103
Wilson, G.
1985
Algebraic curves and soliton equations. Zbl 0581.35065
Wilson, George
1985
Habillage et fonctions $$\tau$$ . (Dressing and $$\tau$$-functions). Zbl 0564.35086
Wilson, George
1984
Morphisms between preprojective modules over hereditary Artin algebras. Zbl 0503.16023
Wilson, G.; Zacharia, D.
1983
Modifying Lax equations and the second Hamiltonian structure. Zbl 0464.35024
Kupershmidt, B. A.; Wilson, George
1981
The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras. Zbl 0495.58008
Wilson, George
1981
On two constructions of conservation laws for Lax equations. Zbl 0477.35079
Wilson, George
1981
Conservation laws and symmetries of generalized sine-Gordon equations. Zbl 0487.35078
Kupershmidt, B. A.; Wilson, George
1981
Hamiltonian and algebro-geometric integrals of stationary equations of KdV type. Zbl 0431.35076
Wilson, George
1980
Commuting flows and conservation laws for Lax equations. Zbl 0427.35024
Wilson, George
1979
Hilbert’s sixteenth problem. Zbl 0394.57001
Wilson, George
1978
K-theory invariants for unitary G-bordism. Zbl 0269.55004
Wilson, George
1973
Factorization of the covariance generating function of a pure moving average process. Zbl 0176.46401
Wilson, G.
1969
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#### Cited by 775 Authors

 25 Helminck, Gerardus Franciscus 19 Kupershmidt, Boris A. 14 Previato, Emma 12 Harnad, John 10 Gesztesy, Fritz 9 Andruchow, Esteban 8 Palmer, John N. 8 Plaza Martín, Francisco José 7 Bergvelt, Maarten J. 7 Chalykh, Oleg A. 7 Horozov, Emil Ivanov 7 Iliev, Plamen 7 Kasman, Alex 7 Konopelchenko, Boris Georgievich 7 Mironov, Andrei D. 7 Morozov, Alexei Yurievich 6 Adler, Mark 6 Aratyn, Henrik 6 Berest, Yuri Yu. 6 Cafasso, Mattia 6 Dorfmeister, Josef F. 6 Glazebrook, James F. 6 Grünbaum, Francisco Alberto 6 Guha, Partha 6 Haine, Luc 6 Helminck, Aloysius G. 6 Miramontes, J. Luis 6 Prykarpatsky, Anatoliy Karolevych 6 Weikard, Rudi 6 Wilson, George 6 Zheglov, Alexander B. 6 Zubelli, Jorge P. 5 Alexandrov, Alexander Sergeevich 5 Anderson, Greg W. 5 Bertola, Marco 5 Bogdanov, Leonid Vital’evich 5 Carey, Alan L. 5 Li, Jibin 5 Magri, Franco 5 Pablos Romo, Fernando 5 Panasenko, Elena A. 5 Prykarpatsky, Yarema Anatoliyovych 5 Semenov-Tian-Shansky, Michael A. 5 Szmigielski, Jacek 5 Takasaki, Kanehisa 5 Treibich, Armando 5 van Moerbeke, Pierre 5 Yu, Feng 4 Alexandrov, Albert D. 4 Balogh, Ferenc N. 4 Carroll, Robert L. 4 De Naeghel, Koen 4 Dubrovin, Boris Anatol’evich 4 Dupre, Maurice J. 4 Finkelberg, Michael Vladlenovich 4 Ginzburg, Victor 4 Guerrero, F. Guil 4 Johnson, Russell Allan 4 Kac, Victor G. 4 Kudryashov, Nikolaĭ Alekseevich 4 Larotonda, Gabriel 4 Lisovyy, Oleg 4 Martínez Alonso, Luis 4 McIntosh, Ian 4 Muñoz Porras, José María 4 Nevins, Thomas Andrew 4 Opimakh, A. V. 4 Ortenzi, Giovanni 4 Pan, Victor Yakovlevich 4 Polenkova, Svetlana V. 4 Rabin, Jeffrey M. 4 van de Leur, Johan W. 4 Varchenko, Alexander Nikolaevich 4 Wang, Shuguang 4 Weiss, John 4 Yang, Di 3 Adams, Malcolm R. 3 Blackmore, Denis L. 3 Carillo, Sandra 3 Casati, Paolo 3 Chan, H. S. Y. 3 Chapuy, Guillaume 3 Chung, Kwok-Wai 3 Das, Ashok Kr. 3 Dickey, Leonid A. 3 Eynard, Bertrand 3 Falqui, Gregorio 3 Ferreira, Luiz Agostinho 3 Figueroa-O’Farrill, José Miguel 3 Gomes, Jose Francisco 3 Hannabuss, Keith C. 3 Hollowood, Timothy J. 3 Hurtubise, Jacques C. 3 Itenberg, Ilia V. 3 Kiselev, Arthemy V. 3 Krichever, Igor’ Moiseevich 3 Lebedev, Dimitri R. 3 Lerario, Antonio 3 Levermore, C. David 3 Li, Luen-Chau ...and 675 more Authors
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#### Cited in 170 Serials

 98 Journal of Mathematical Physics 82 Communications in Mathematical Physics 38 Journal of Geometry and Physics 26 Letters in Mathematical Physics 22 Theoretical and Mathematical Physics 18 Physica D 15 Advances in Mathematics 15 Acta Applicandae Mathematicae 14 Journal of Nonlinear Mathematical Physics 12 Transactions of the American Mathematical Society 11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 10 Duke Mathematical Journal 10 Journal of Algebra 10 Journal of Functional Analysis 9 Inventiones Mathematicae 9 Journal of High Energy Physics 8 International Journal of Modern Physics A 8 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Nuclear Physics. B 7 Reports on Mathematical Physics 7 Journal of Differential Equations 7 Proceedings of the American Mathematical Society 7 Linear Algebra and its Applications 7 Selecta Mathematica. New Series 6 Functional Analysis and its Applications 6 Journal of Soviet Mathematics 6 Bulletin of the American Mathematical Society. New Series 5 Communications on Pure and Applied Mathematics 5 Journal für die Reine und Angewandte Mathematik 5 Journal of Time Series Analysis 5 Journal of Symbolic Computation 5 Regular and Chaotic Dynamics 4 Applicable Analysis 4 Mathematical Notes 4 Reviews in Mathematical Physics 4 Annales de l’Institut Fourier 4 Compositio Mathematica 4 Integral Equations and Operator Theory 4 Mathematische Annalen 4 Advances in Applied Mathematics 4 Applied Mathematics Letters 4 Journal of the American Mathematical Society 4 International Journal of Mathematics 4 Transformation Groups 4 Mathematical Physics, Analysis and Geometry 4 Annals of Mathematics. Second Series 4 Journal of Physics A: Mathematical and Theoretical 3 Journal of Mathematical Analysis and Applications 3 Applied Mathematics and Computation 3 Bulletin de la Société Mathématique de France 3 Journal of Approximation Theory 3 Journal of Econometrics 3 Journal of the Mathematical Society of Japan 3 Journal of Pure and Applied Algebra 3 Kybernetika 3 Manuscripta Mathematica 3 Mathematische Zeitschrift 3 Studies in Applied Mathematics 3 Communications in Statistics. Theory and Methods 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Bulletin des Sciences Mathématiques 3 Complex Analysis and Operator Theory 2 Modern Physics Letters A 2 Computers & Mathematics with Applications 2 International Journal of Control 2 International Journal of Theoretical Physics 2 Israel Journal of Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Physics Letters. A 2 Chaos, Solitons and Fractals 2 Publications Mathématiques 2 Journal of Computational and Applied Mathematics 2 Mathematische Nachrichten 2 Siberian Mathematical Journal 2 Topology and its Applications 2 Constructive Approximation 2 Signal Processing 2 Journal of Statistical Computation and Simulation 2 Computational Statistics and Data Analysis 2 Journal of Dynamics and Differential Equations 2 Indagationes Mathematicae. New Series 2 Journal of Mathematical Sciences (New York) 2 St. Petersburg Mathematical Journal 2 Representation Theory 2 The ANZIAM Journal 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Algebra and its Applications 2 Analysis and Mathematical Physics 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Computer Physics Communications 1 Geophysical and Astrophysical Fluid Dynamics 1 Nonlinearity 1 Physica A 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica ...and 70 more Serials
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#### Cited in 52 Fields

 319 Dynamical systems and ergodic theory (37-XX) 280 Partial differential equations (35-XX) 168 Algebraic geometry (14-XX) 122 Quantum theory (81-XX) 107 Global analysis, analysis on manifolds (58-XX) 102 Nonassociative rings and algebras (17-XX) 58 Differential geometry (53-XX) 50 Ordinary differential equations (34-XX) 46 Operator theory (47-XX) 37 Topological groups, Lie groups (22-XX) 36 Associative rings and algebras (16-XX) 28 Functions of a complex variable (30-XX) 26 Mechanics of particles and systems (70-XX) 25 Special functions (33-XX) 24 Several complex variables and analytic spaces (32-XX) 24 Statistics (62-XX) 22 Numerical analysis (65-XX) 19 Functional analysis (46-XX) 18 Difference and functional equations (39-XX) 16 Group theory and generalizations (20-XX) 15 Manifolds and cell complexes (57-XX) 14 Number theory (11-XX) 14 Commutative algebra (13-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 13 Field theory and polynomials (12-XX) 13 Fluid mechanics (76-XX) 13 Systems theory; control (93-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Relativity and gravitational theory (83-XX) 10 Combinatorics (05-XX) 9 Algebraic topology (55-XX) 7 $$K$$-theory (19-XX) 7 Probability theory and stochastic processes (60-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Computer science (68-XX) 4 Information and communication theory, circuits (94-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Category theory; homological algebra (18-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral equations (45-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Potential theory (31-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX)