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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1995 Volume 104, Number 1, Pages 144–157 (Mi tmf1330)

This article is cited in 3 papers

Intertwining operators and Hirota bilinear equations

S. M. Kharcheva, S. M. Khoroshkinab, D. R. Lebedevab

a P. N. Lebedev Physical Institute, Russian Academy of Sciences
b Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)

Abstract: 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.

Language: English


 English version:
Theoretical and Mathematical Physics, 1995, 104:1, 879–891

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© Steklov Math. Inst. of RAS, 2024