Intertwining operators and Hirota bilinear equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 104 (1995) no. 1, pp. 144-157

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

We give an interpretation of Hirota relations for $\tau$-functions of hierarchies of integrable equations in terms of intertwining operators. This gives possibility to generalize the relations to the case of finite-dimensional Lie algebras and quantized universal enveloping algebras. An example of $U_q(sl_2)$ is presented.
@article{TMF_1995_104_1_a10,
     author = {S. M. Kharchev and S. M. Khoroshkin and D. R. Lebedev},
     title = {Intertwining operators and {Hirota} bilinear equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {144--157},
     publisher = {mathdoc},
     volume = {104},
     number = {1},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_104_1_a10/}
}
TY  - JOUR
AU  - S. M. Kharchev
AU  - S. M. Khoroshkin
AU  - D. R. Lebedev
TI  - Intertwining operators and Hirota bilinear equations
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1995
SP  - 144
EP  - 157
VL  - 104
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1995_104_1_a10/
LA  - en
ID  - TMF_1995_104_1_a10
ER  - 
%0 Journal Article
%A S. M. Kharchev
%A S. M. Khoroshkin
%A D. R. Lebedev
%T Intertwining operators and Hirota bilinear equations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1995
%P 144-157
%V 104
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1995_104_1_a10/
%G en
%F TMF_1995_104_1_a10
S. M. Kharchev; S. M. Khoroshkin; D. R. Lebedev. Intertwining operators and Hirota bilinear equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 104 (1995) no. 1, pp. 144-157. http://geodesic.mathdoc.fr/item/TMF_1995_104_1_a10/