%0 Journal Article %J Differential equations and quantum groups, IRMA Lect. Math. Theor. Phys. 9 (2007) 157-187 %D 2007 %T On the reductions and classical solutions of the Schlesinger equations %A Boris Dubrovin %A Marta Mazzocco %X The Schlesinger equations S(n,m) describe monodromy preserving\\r\\ndeformations of order m Fuchsian systems with n+1 poles. They\\r\\ncan be considered as a family of commuting time-dependent Hamiltonian\\r\\nsystems on the direct product of n copies of m×m matrix algebras\\r\\nequipped with the standard linear Poisson bracket. In this paper we address\\r\\nthe problem of reduction of particular solutions of “more complicated”\\r\\nSchlesinger equations S(n,m) to “simpler” S(n′,m′) having n′ < n\\r\\nor m′ < m. %B Differential equations and quantum groups, IRMA Lect. Math. Theor. Phys. 9 (2007) 157-187 %I SISSA %G en %U http://hdl.handle.net/1963/6472 %1 6418 %2 Mathematics %4 1 %# MAT/07 FISICA MATEMATICA %$ Submitted by Boris Dubrovin (dubrovin@sissa.it) on 2013-02-11T14:52:15Z\\nNo. of bitstreams: 1\\ndubrovin_mazzocco_2007_irma.pdf: 300042 bytes, checksum: 85252eedf7d0fbbdf06061c20b471d44 (MD5)