Les représentations des algèbres de Lie affines : applications à quelques problèmes de physique

 Access to full text

 Full (PDF)

1. [1] I.V. Cherednick - Differential equations for the Baker-Akliezer functions of algebraic curves, Funct. Anal. Appl.12(1978), 45-54. Zbl0404.35030MR509383
2. [2] E. Date, M. Jimbo, T. Miwa, M. Kashiwara - Transformation Groups for Soliton Equations, R.I.M.S.394, Kyoto, Feb. 1982. Zbl0571.35098MR725700
3. [3] E. Date, M. Jimbo, T. Miwa - Operator approach to the Kadomstev-Petviashvili Equation - Transformation groups for Soliton Equations III, J. of Physical Soc. of Japan, vol. 50, n° 11, november 1981, 3806-3812. Zbl0571.35099MR638807
4. [4] E. Date, M. Jimbo, T. Miwa - K.P. Hierarchies of Orthogonal and Symplectic Type - Transformation groups for Soliton Equations VI, J. of physical Soc. of Japan, vol. 50, n° 11, november 1981, 3813-3818. Zbl0571.35102MR638808
5. [5] B. Julia - Infinite Lie Algebra in Physics, preprint, L.P.T.E.N.S., juin 1981. 
6. [6] V.G. Kac - Highest Weight Representations of Infinite-Dimensional Lie Algebras, Proceedings of the I.C.M.Helsinki, 1978. Zbl0425.17009
7. [7] V.G. Kac, D.A. Kazhdan, J. Lepowsky, R.L. Wilson - Realization of the Basic Representations of the Euclidean Lie Algebras, Advances in Math., vol. 42, n° 1, octobre 1981. Zbl0476.17003MR633784
8. [8] J. Lepowsky and R.L. Wilson - Construction of the affine Lie algebra A(1)1, Comm. Math. Phys., 62(1978), 43-53. Zbl0388.17006MR573075
9. [9] S. Mandelstam - Dual Resonance Models, Phys. Rep., 13(1974), 259-353. 
10. [10] J.K. Ueno and Y. Nakamura - Transformation Theory for Anti-Self-Dual Equations in Four-Dimensional Euclidean Space and Riemann-Hilbert Problem, R.I.M.S.375, Kyoto, july 1981. 

1. Arnaud Beauville, Le problème de Schottky et la conjecture de Novikov