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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 251, Pages 233–259
(Mi znsl681)
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The Drinfeld–Sokolov reduction for a Lax difference operator with the periodic boundary conditions in the case $gl\bigl(n,\mathbb C((\lambda^{-1}))\bigr)$
A. L. Pirozerskii Saint-Petersburg State University
Abstract:
Matrix difference equations of a special kind are investigated by means of the dressing equations method. It is shown that these equations are gauge invariant, the corresponding flows being commutative. It is proved that the equation for the gauge equivalence class and the Lax equation are equivalent.
Received: 16.02.1998
Citation:
A. L. Pirozerskii, “The Drinfeld–Sokolov reduction for a Lax difference operator with the periodic boundary conditions in the case $gl\bigl(n,\mathbb C((\lambda^{-1}))\bigr)$”, Questions of quantum field theory and statistical physics. Part 15, Zap. Nauchn. Sem. POMI, 251, POMI, St. Petersburg, 1998, 233–259; J. Math. Sci. (New York), 104:3 (2001), 1229–1246
Linking options:
https://www.mathnet.ru/eng/znsl681 https://www.mathnet.ru/eng/znsl/v251/p233
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Abstract page: | 165 | Full-text PDF : | 63 |
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