C e n t r e  d e  r e c h e r c h e s  m a t h é m a t i q u e s

P. Winternitz

Books and Contributions to Books (authored or edited)

1. P. Winternitz and H. Zassenhaus. Maximal Abelian Subalgebras of the Classical Algebras and their Physical Applications. J. Wiley & Sons, New York, 2005. To appear.
   
   
2. P. Winternitz, D. Gomez-Ullate, A. Iserles, D. Levi, P.J. Olver, R. Quispel, P. Tempesta, editors, Group Theory and Numerical Analysis, CRM Proceedings and Lecture Notes 39. AMS, Providence, R.I., 2004.
   
   
3. P. Tempesta, P. Winternitz, J. Harnad, W. Miller, Jr., and M. Rodriguez, editors, Superintegrability in Classical and Quantum Systems, CRM Proceedings and Lecture Notes 37. AMS, Providence, R.I., 2004.
   
   
4. P. Winternitz, J. Harnad, C.S. Lam, and J. Patera, editors, Symmetry in Physics.In Memory of Robert T. Sharp, CRM Proceedings and Lecture Notes 34. AMS, Providence, R.I., 2004.
   
   
5. P. Winternitz, Superintegrable systems in classical and quantum mechanics, in New Trends in Integrability and Partial Solvability, Kluwer, Dordrecht, 2004, Editors A.B. Shabat, A. Gonzalez Lopez, M. Manas, L. Martinez Alonso and M. A. Rodriguez, pp 281-297.
   
   
6. P. Winternitz, Symmetries of discrete systems, in Discrete Integrable Systems, Lecture Notes in Physics 644, Springer, 2004, Editors B.Grammaticos, Y Kosmann-Schwarzbach and K. M. Tamizhmani, pp 185-243 [see also ArXiv nlin.SI/0309058].
   
   
7. P. Winternitz. Subalgebras of Lie algebras and their applications in physics. In Y.A. Danilov, V.G. Kadyhevsky, and A.N. Sissakian, editors, Ya. A. Smorodinsky, volume 2 of Classics of Science, pages 473-485, Moscow, Russia, 2001. Editorial URSS.
   
   
8. A. Coley, D. Levi, R. Milson, C. Rogers, and P. Winternitz, editors. Backlund and Darboux Transformations. The Geometry of Solitons, volume 29 of CRM Proceedings and Lecture Notes. AMS, Providence, Rhode Island, 2001. 436 pages.
   
   
9. J.Harnad, G.Sabidussi, and P.Winternitz, editors. Integrable Systems: From Classical to Quantum, volume 26 of CRM Proceedings and Lecture Notes. AMS, Providence, Rhode Island, 2000. 264 pages.
   
   
10. P. Clarkson and P. Winternitz. Symmetry reduction and exact solutions of nonlinear partial differential equations. In R.Conte, editor, The Painleve Property , One Century Later, CRM Series in Mathematical Physics, pages 597-668. Springer, New York, 1999.
    
    
11. L. Michel and P. Winternitz. Families of transitive primitive maximal simple Lie subalgebras of diff(n). In L. Vinet, editor, Advances in Mathematical Sciences - CRM's 25 years, volume 11 of CRM Proceedings and Lecture Notes, pages 451-479. AMS, Providence, Rhode Island, 1997.
    
    
12. D. Levi, L.Vinet, and P.Winternitz, editors. Symmetries and Integrability of Difference Equations, volume 9 of CRM Proceedings and Lecture Notes. AMS, Providence, Rhode Island, 1996. 400 pages.
    
    
13. D. Levi, C. R. Menyuk, and P. Winternitz, editors. On Self-Similarity in Stimulated Raman Scattering. Publications CRM, Montréal, 1994. 183 pages.
    
    
14. P. Winternitz. Lie groups and solutions of nonlinear partial differential equations. In A. Ibort and M. A. Rodriguez, editors, Integrable Systems Quantum Groups and Quantum Field Theories , pages 429-495. Kluwer, Dordrecht, 1993.
    
    
15. D. Levi and P. Winternitz, editors. Painlevé Transcendents, their Asymptotics and Physical Applications. Plenum, New York, 1992. 472 pages.

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