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