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Variétés de drapeaux et réseaux de Toda
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Document type | Article de périodique (Journal article) – Article de recherche |
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Access type | Accès restreint |
Publication date | 1991 |
Language | Français |
Journal information | "Mathematische Zeitschrift" - Vol. 208, no. 4, p. 545-556 (1991) |
Peer reviewed | yes |
Publisher | Springer Verlag (New York) |
issn | 0025-5874 |
e-issn | 1432-1823 |
Publication status | Publié |
Affiliation | UCL |
Links |
- Adler, M., van Moerbeke, P.: The Toda lattice, Dynkin diagrams, singularities and Abelian varieties. Invent. Math.103, 223–278 (1991)
- Bernstein, I.N., Gel'fand, I.M., Gel'fand, S.I.: Schubert cells and cohomology of the spaces G/P. Russ. Math. Surv.28, 1–26 (1973)
- Bremner, M.R., Moody, R.V., Patera, J.: Tables of dominant weight multiplicities for representations of simple Lie algebras. New York: Marcel Dekker 1985
- Deift, P.A., Li, L.C., Nanda, T., Tomei, C.: The Toda flow on a generic orbit is integrable. Commun. Pure Appl. Math.39, 183–232 (1986)
- Ercolani, N.M., Flaschka, H., Haine, L.: Painlevé balances and dressing transformations. (Preprint)
- Flaschka H., The Toda Lattice in the Complex Domain, Algebraic Analysis (1988) ISBN:9780124004658 p.141-154, 10.1016/b978-0-12-400465-8.50020-1
- Flaschka Hermann, Haine Luc, Torus orbits inG∕P, 10.2140/pjm.1991.149.251
- Flaschka, H., Zeng, Y.: Painlevé analysis for the semisimple Toda lattice. (Preprint)
- Gel'fand, I.M., Serganova, V.V.: Combinatorial geometries and torus strata on homogeneous compact manifolds. Russ. Math. Surv.42, 133–168 (1987)
- Goodman, R., Wallach, N.R.: Classical and quantum mechanical systems of Toda lattice type, II. Solutions of the classical flows. Commun. Math. Phys.94, 177–217 (1984)
- Kostant, B.: The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group. Am. J. Math.81, 973–1032 (1959)
- Kostant, B.: Lie group representations on polynomial rings. Am. J. Math.85, 327–404 (1963)
- Kostant, B.: On Whittaker vectors and representation theory. Invent. Math.48, 101–184 (1978)
- Kostant, B.: The solution to a generalized Toda lattice and representation theory. Adv. Math.34, 195–338 (1979)
- Ol'shanetskyi, M.A., Perelomov, A.M.: Explicit solutions of the classical generalized Toda models. Invent. Math.54, 261–269 (1979)
- Reyman, A.G.: Integrable systems connected with graded Lie algebras. J. Sov. Math.19, 1507–1545 (1982)
Bibliographic reference | Flaschka, H. ; Haine, Luc. Variétés de drapeaux et réseaux de Toda. In: Mathematische Zeitschrift, Vol. 208, no. 4, p. 545-556 (1991) |
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Permanent URL | http://hdl.handle.net/2078.1/50779 |