Lie algebras and Lax equations with spectral parameter on an elliptic curve
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 6, Tome 150 (1986), pp. 104-118
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Lax equations with elliptic spectral parameter are treated using a general Lie-algebraic scheme based on the notion of classical $r$-matrix. Several concrete examples of interacting tops are discussed.
@article{ZNSL_1986_150_a10,
author = {A. G. Reiman and M. A. Semenov-Tian-Shansky},
title = {Lie algebras and {Lax} equations with spectral parameter on an elliptic curve},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {104--118},
publisher = {mathdoc},
volume = {150},
year = {1986},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1986_150_a10/}
}
TY - JOUR AU - A. G. Reiman AU - M. A. Semenov-Tian-Shansky TI - Lie algebras and Lax equations with spectral parameter on an elliptic curve JO - Zapiski Nauchnykh Seminarov POMI PY - 1986 SP - 104 EP - 118 VL - 150 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_1986_150_a10/ LA - ru ID - ZNSL_1986_150_a10 ER -
A. G. Reiman; M. A. Semenov-Tian-Shansky. Lie algebras and Lax equations with spectral parameter on an elliptic curve. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 6, Tome 150 (1986), pp. 104-118. http://geodesic.mathdoc.fr/item/ZNSL_1986_150_a10/