@article{RCP25_1995__47__93_0, author = {Bilal, Adel}, title = {Non-Local Extensions of the Conformal Algebra : Matrix W-Algebras, Matrix KdV-Hierarchies and Non-Abelian Toda Theories}, journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25}, volume = {47}, year = {1995}, pages = {93-125}, language = {en}, url = {http://dml.mathdoc.fr/item/RCP25_1995__47__93_0} }
Bilal, Adel. Non-Local Extensions of the Conformal Algebra : Matrix W-Algebras, Matrix KdV-Hierarchies and Non-Abelian Toda Theories. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 47 (1995) pp. 93-125. http://gdmltest.u-ga.fr/item/RCP25_1995__47__93_0/
1. Two-dimensional exactly and completely integrable dynamical systems, Comm. Math. Phys. 89 (1983) 59. | MR 707772 | Zbl 0536.35068
and ,2. Black holes from non-abelian Toda theories, Phys. Lett. B286 (1992) 271. | MR 1175139
and ,3. Non-abelian Toda theory: a completely integrable model for strings on a black hole background, Nucl. Phys. B422 (1994) 258. | MR 1289621 | Zbl 0990.81695
,4. Systematic approach to conformai systems with extended Virasoro symmetries, Phys. Lett. B206 (1988) 412; | MR 944263
and ,Systematic construction of conformal systems from classical Toda field theories, Nucl. Phys. B314 (1989) 646; | MR 984580
andSystematic construction of conformal theories with higher-spin Virasoro symmetries, Nucl. Phys. B318 (1989) 579. | MR 999521
and5. Multi-component KdV hierarchy, V-algebra and non-abelian Toda theory, Lett. Math. Phys. 32 (1994) 103. | MR 1296380 | Zbl 0807.35123
,6. Higher spin fields and the Gelfand-Dikii algebras, Commun. Math. Phys. 123 (1989) 627. | MR 1006297 | Zbl 0689.35100
,7. Fractional powers of operators and hamiltonian systems, Funct. Anal. Applic. 10 (1976) 259; | MR 433508 | Zbl 0356.35072
and ,The resolvent and hamiltonian systems, Funct. Anal. Applic. 11 (1977) 93. | MR 442984 | Zbl 0412.58018
and8. On a trace functional for pseudo-differential operators and the symplectic structure of the Korteweg-de Vries type equations, Invent, math. 50 (1979) 219. | MR 520927 | Zbl 0393.35058
,9. Gelfand-Dikii Hamiltonian operator and the coadjoint representation of the Volterra group, Funct. Anal. Applic. 13 (1979) 268. | MR 554409 | Zbl 0455.58012
and ,10. A family of Hamiltonian structures connected with integrable non-linear differential equations, Inst. Appl. Math. Acad. Sci. USSR preprint n° 136, 1978 (in Russian). | MR 542603
and ,11. Modifying Lax equations and the second Hamiltonian structure, Invent. Math. 62 (1981) 403. | MR 604836 | Zbl 0464.35024
and ,12. A short proof of a Kupershmidt-Wilson theorem, Commun. Math. Phys. 87 (1982) 127. | MR 680652 | Zbl 0523.35091
,13. Asymptotic behaviour of the resolvent of Sturm-Liouville equations and the algebra of the Korteveg-de Vries equations, Russ. Math. Surv. 30 (1975) 77. | MR 508337 | Zbl 0334.58007
and ,14. Infinite-dimensional Hamiltonian systems associated with matrix Schrödinger operators, Nuovo Cim. 61B (1981) 49. | MR 619392
, and ,15. Nonlinear evolution equations solvable by the inverse spectral transform associated with the multichannel Schrödinger problem, and properties of their solution, Lett. Nuovo Cim. 15 (1976) 65; | MR 426642 | Zbl 0435.35070
and ,16. Non-local matrix generalizations of W-algebras, Princeton University preprint PUPT-1452 (March 1994), hep-th@xxx/9403197, Comm. Math. Phys. in press. | MR 1331694 | Zbl 0846.17026
,17. Extended classical conformai algebras and the second Hamiltonian structure of Lax equations, Phys. Lett. B208 (1988) 101. | MR 952528
,18. Classical W-algebras, Commun. Math. Phys. 140 (1991) 543. | MR 1130697 | Zbl 0752.17026
, and ,19. Infinite additional symmetries in two-dimensional conformai field theory, Theor. Math. Phys. 65 (1985) 1205. | MR 829902
,