The Hermitian matrix model and homogeneous spaces
Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 2, pp. 345-351 Cet article a éte moissonné depuis la source Math-Net.Ru

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The geometrical description of some integrable systems associated with the Toda and Volterra chains is applied to the Hermitian one-matrix model.
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Manuel Mañas. The Hermitian matrix model and homogeneous spaces. Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 2, pp. 345-351. http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a22/

[1] M. Bergveld, A. ten Kroode, J. Math. Phys., 28 (1987), 302 ; J. Math. Phys., 29 (1988), 1308 | DOI | MR | DOI | MR

[2] L. Bonora, C. Xiong, Phys. Lett. B, 285 (1992), 191 | DOI | MR | Zbl

[3] A. Gerasimov, A. Marshakov, A. Mironov, A. Morozov, A. Orlov, Nucl. Phys. B, 357 (1991), 565 | DOI | MR

[4] F. Guil, M. Mañas, Lett. Math. Phys., 19 (1990), 89 | DOI | MR | Zbl

[5] F. Guil, M. Mañas, “AKNS hierarchy, self-Similarity, string Equations and the Grassmannian”, J. Phys. A, 27:6 (1994), 2129–2142 | DOI | MR | Zbl

[6] M. Jimbo, T. Miwa, Physica D, 2 (1981), 306, 407 | DOI | MR

[7] V. Kac, Infinite dimensional Lie algebras, third edition, Cambridge University Press, Cambridge, 1989 | MR

[8] M. Mañas, “The Hermitian matrix model and the geometry of some integrable lattice-differential hierarchies”, Teoret. Mat. Fiz., 99:2 (1994), 345–351 | MR | Zbl

[9] A. Pressley, G. Segal, Loop groups, Oxford University Press, Oxford, 1985 | MR

[10] A. Shabat, R. Yamilov, Leningrad Math. J., 2 (1991), 377 ; Phys. Lett. A, 130 (1988), 271 ; R. Leznov, A. Shabat, R. Yamilov, Phys. Lett A, 174 (1993), 397 | MR | Zbl | DOI | MR | DOI | MR