@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}, note = {talk:4}, pages = {93--125}, publisher = {Institut de Recherche Math\'ematique Avanc\'ee - Universit\'e Louis Pasteur}, volume = {47}, year = {1995}, language = {en}, url = {http://archive.numdam.org/item/RCP25_1995__47__93_0/} }
TY - JOUR AU - Bilal, Adel TI - Non-Local Extensions of the Conformal Algebra : Matrix W-Algebras, Matrix KdV-Hierarchies and Non-Abelian Toda Theories JO - Les rencontres physiciens-mathématiciens de Strasbourg -RCP25 N1 - talk:4 PY - 1995 SP - 93 EP - 125 VL - 47 PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur UR - http://archive.numdam.org/item/RCP25_1995__47__93_0/ LA - en ID - RCP25_1995__47__93_0 ER -
%0 Journal Article %A Bilal, Adel %T Non-Local Extensions of the Conformal Algebra : Matrix W-Algebras, Matrix KdV-Hierarchies and Non-Abelian Toda Theories %J Les rencontres physiciens-mathématiciens de Strasbourg -RCP25 %Z talk:4 %D 1995 %P 93-125 %V 47 %I Institut de Recherche Mathématique Avancée - Université Louis Pasteur %U http://archive.numdam.org/item/RCP25_1995__47__93_0/ %G en %F 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, Conférences de M. Audin, D. Bernard, A. Bilal, B. Enriquez, E. Frenkel, F. Golse, M. Katz, R. Lawrence, O. Mathieu, P. Von Moerbeke, V. Ovsienko, N. Reshetikhin, S. Theisen, Tome 47 (1995), Exposé no. 4, 33 p. http://archive.numdam.org/item/RCP25_1995__47__93_0/
1. Two-dimensional exactly and completely integrable dynamical systems, Comm. Math. Phys. 89 (1983) 59. | MR | Zbl
and ,2. Black holes from non-abelian Toda theories, Phys. Lett. B286 (1992) 271. | MR
and ,3. Non-abelian Toda theory: a completely integrable model for strings on a black hole background, Nucl. Phys. B422 (1994) 258. | MR | Zbl
,4. Systematic approach to conformai systems with extended Virasoro symmetries, Phys. Lett. B206 (1988) 412; | MR
and ,Systematic construction of conformal systems from classical Toda field theories, Nucl. Phys. B314 (1989) 646; | MR
andSystematic construction of conformal theories with higher-spin Virasoro symmetries, Nucl. Phys. B318 (1989) 579. | MR
and5. Multi-component KdV hierarchy, V-algebra and non-abelian Toda theory, Lett. Math. Phys. 32 (1994) 103. | MR | Zbl
,6. Higher spin fields and the Gelfand-Dikii algebras, Commun. Math. Phys. 123 (1989) 627. | MR | Zbl
,7. Fractional powers of operators and hamiltonian systems, Funct. Anal. Applic. 10 (1976) 259; | MR | Zbl
and ,The resolvent and hamiltonian systems, Funct. Anal. Applic. 11 (1977) 93. | MR | Zbl
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. | EuDML | MR | Zbl
,9. Gelfand-Dikii Hamiltonian operator and the coadjoint representation of the Volterra group, Funct. Anal. Applic. 13 (1979) 268. | MR | Zbl
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
and ,11. Modifying Lax equations and the second Hamiltonian structure, Invent. Math. 62 (1981) 403. | EuDML | MR | Zbl
and ,12. A short proof of a Kupershmidt-Wilson theorem, Commun. Math. Phys. 87 (1982) 127. | MR | Zbl
,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 | Zbl
and ,14. Infinite-dimensional Hamiltonian systems associated with matrix Schrödinger operators, Nuovo Cim. 61B (1981) 49. | MR
, 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 | Zbl
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 | Zbl
,17. Extended classical conformai algebras and the second Hamiltonian structure of Lax equations, Phys. Lett. B208 (1988) 101. | MR
,18. Classical W-algebras, Commun. Math. Phys. 140 (1991) 543. | MR | Zbl
, and ,19. Infinite additional symmetries in two-dimensional conformai field theory, Theor. Math. Phys. 65 (1985) 1205. | MR
,