Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VII, Tome 146 (1985), pp. 119-136
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E. K. Sklyanin. On the classical limits of the $SU(2)$-invariant solutions to the Yang-Baxter equation. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VII, Tome 146 (1985), pp. 119-136. http://geodesic.mathdoc.fr/item/ZNSL_1985_146_a7/
@article{ZNSL_1985_146_a7,
author = {E. K. Sklyanin},
title = {On the classical limits of the $SU(2)$-invariant solutions to the {Yang-Baxter} equation},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {119--136},
year = {1985},
volume = {146},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_146_a7/}
}
TY - JOUR
AU - E. K. Sklyanin
TI - On the classical limits of the $SU(2)$-invariant solutions to the Yang-Baxter equation
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1985
SP - 119
EP - 136
VL - 146
UR - http://geodesic.mathdoc.fr/item/ZNSL_1985_146_a7/
LA - ru
ID - ZNSL_1985_146_a7
ER -
%0 Journal Article
%A E. K. Sklyanin
%T On the classical limits of the $SU(2)$-invariant solutions to the Yang-Baxter equation
%J Zapiski Nauchnykh Seminarov POMI
%D 1985
%P 119-136
%V 146
%U http://geodesic.mathdoc.fr/item/ZNSL_1985_146_a7/
%G ru
%F ZNSL_1985_146_a7
All the possible classical limits of the $SU(2)$-invariant solution to the quantum Yang–Baxter equation are systematically studied. In addition to the already known classical limits: the classical $r$-matrix, the lattice and continuous $L$-operators, some new classical objects are introduced and the equations satisfied by them are enlisted. Bibl. – 12.