Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 15, Tome 251 (1998), pp. 260-272
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A. V. Tsiganov. Classical integrable systems amd automorphisms of representations of $SL(2)$. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 15, Tome 251 (1998), pp. 260-272. http://geodesic.mathdoc.fr/item/ZNSL_1998_251_a16/
@article{ZNSL_1998_251_a16,
author = {A. V. Tsiganov},
title = {Classical integrable systems amd automorphisms of representations of $SL(2)$},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {260--272},
year = {1998},
volume = {251},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_251_a16/}
}
TY - JOUR
AU - A. V. Tsiganov
TI - Classical integrable systems amd automorphisms of representations of $SL(2)$
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1998
SP - 260
EP - 272
VL - 251
UR - http://geodesic.mathdoc.fr/item/ZNSL_1998_251_a16/
LA - ru
ID - ZNSL_1998_251_a16
ER -
%0 Journal Article
%A A. V. Tsiganov
%T Classical integrable systems amd automorphisms of representations of $SL(2)$
%J Zapiski Nauchnykh Seminarov POMI
%D 1998
%P 260-272
%V 251
%U http://geodesic.mathdoc.fr/item/ZNSL_1998_251_a16/
%G ru
%F ZNSL_1998_251_a16
Outer automorphisms of infinite-dimensional representations of $sl(2)$ algebra are applied to produce some classical integrable systems with continuous and discrete time. The associated Lax pairs and $r$-matrix algebras are constructed.