Geodesic
Second-order evaluations of orthogonal and symplectic Yangians
Teoretičeskaâ i matematičeskaâ fizika, Tome 192 (2017) no. 2, pp. 250-258

Voir la notice de l'article provenant de la source Math-Net.Ru

Orthogonal or symplectic Yangians are defined by the Yang–Baxter $RLL$ relation involving the fundamental $R$-matrix with the corresponding $so(n)$ or $sp(2m)$ symmetry. We investigate the second-order solution conditions, where the expansion of $L(u)$ in $u^{-1}$ is truncated at the second power, and we derive the relations for the two nontrivial terms in $L(u)$.
Keywords: integrable systems, Yang–Baxter relation, symplectic Lie algebra, truncated Yangian.
Mots-clés : orthogonal Lie algebra 
@article{TMF_2017_192_2_a5,
     author = {D. R. Karakhanyan and R. Kirshner},
     title = {Second-order evaluations of orthogonal and symplectic {Yangians}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {250--258},
     publisher = {mathdoc},
     volume = {192},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2017_192_2_a5/}
}
TY  - JOUR
AU  - D. R. Karakhanyan
AU  - R. Kirshner
TI  - Second-order evaluations of orthogonal and symplectic Yangians
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2017
SP  - 250
EP  - 258
VL  - 192
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2017_192_2_a5/
LA  - ru
ID  - TMF_2017_192_2_a5
ER  - 
%0 Journal Article
%A D. R. Karakhanyan
%A R. Kirshner
%T Second-order evaluations of orthogonal and symplectic Yangians
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2017
%P 250-258
%V 192
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2017_192_2_a5/
%G ru
%F TMF_2017_192_2_a5
D. R. Karakhanyan; R. Kirshner. Second-order evaluations of orthogonal and symplectic Yangians. Teoretičeskaâ i matematičeskaâ fizika, Tome 192 (2017) no. 2, pp. 250-258. http://geodesic.mathdoc.fr/item/TMF_2017_192_2_a5/