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Dynamical boundary conditions for integrable lattices. / Tsiganov, A. V.

In: Journal of Physics A: Mathematical and General, Vol. 31, No. 39, 02.10.1998, p. 8049-8061.

Research output: Contribution to journal › Article › peer-review

Harvard

Tsiganov, AV 1998, 'Dynamical boundary conditions for integrable lattices', Journal of Physics A: Mathematical and General, vol. 31, no. 39, pp. 8049-8061. https://doi.org/10.1088/0305-4470/31/39/017

APA

Tsiganov, A. V. (1998). Dynamical boundary conditions for integrable lattices. Journal of Physics A: Mathematical and General, 31(39), 8049-8061. https://doi.org/10.1088/0305-4470/31/39/017

Vancouver

Tsiganov AV. Dynamical boundary conditions for integrable lattices. Journal of Physics A: Mathematical and General. 1998 Oct 2;31(39):8049-8061. https://doi.org/10.1088/0305-4470/31/39/017

Author

Tsiganov, A. V. / Dynamical boundary conditions for integrable lattices. In: Journal of Physics A: Mathematical and General. 1998 ; Vol. 31, No. 39. pp. 8049-8061.

BibTeX

@article{568f71040517401cb09038d036ad8610,
title = "Dynamical boundary conditions for integrable lattices",
abstract = "We introduce a natural extension of the usual covariance property for the reflection equation. To solve one reflection equation we propose to use a family of reflection equations with various Drinfeld twists of the initial R-matrix. This allows us to produce non-trivial representations of the reflection equation algebra in a systematic way. As an example, we consider a twist of the Lie algebra sl(2) related to some integrable tops and to the Toda lattices associated with the Dn root system.",
author = "Tsiganov, {A. V.}",
year = "1998",
month = oct,
day = "2",
doi = "10.1088/0305-4470/31/39/017",
language = "English",
volume = "31",
pages = "8049--8061",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "39",

}

RIS

TY - JOUR

T1 - Dynamical boundary conditions for integrable lattices

AU - Tsiganov, A. V.

PY - 1998/10/2

Y1 - 1998/10/2

N2 - We introduce a natural extension of the usual covariance property for the reflection equation. To solve one reflection equation we propose to use a family of reflection equations with various Drinfeld twists of the initial R-matrix. This allows us to produce non-trivial representations of the reflection equation algebra in a systematic way. As an example, we consider a twist of the Lie algebra sl(2) related to some integrable tops and to the Toda lattices associated with the Dn root system.

AB - We introduce a natural extension of the usual covariance property for the reflection equation. To solve one reflection equation we propose to use a family of reflection equations with various Drinfeld twists of the initial R-matrix. This allows us to produce non-trivial representations of the reflection equation algebra in a systematic way. As an example, we consider a twist of the Lie algebra sl(2) related to some integrable tops and to the Toda lattices associated with the Dn root system.

UR - http://www.scopus.com/inward/record.url?scp=0032475770&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/31/39/017

DO - 10.1088/0305-4470/31/39/017

M3 - Article

AN - SCOPUS:0032475770

VL - 31

SP - 8049

EP - 8061

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 39

ER -

ID: 8483269