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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 104, Number 1, Pages 144–157
(Mi tmf1330)
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This article is cited in 3 scientific papers (total 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.
Citation:
S. M. Kharchev, S. M. Khoroshkin, D. R. Lebedev, “Intertwining operators and Hirota bilinear equations”, TMF, 104:1 (1995), 144–157; Theoret. and Math. Phys., 104:1 (1995), 879–891
Linking options:
https://www.mathnet.ru/eng/tmf1330 https://www.mathnet.ru/eng/tmf/v104/i1/p144
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Abstract page: | 290 | Full-text PDF : | 137 | References: | 35 | First page: | 1 |
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