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This article is cited in 4 scientific papers (total in 4 papers)
Second-order evaluations of orthogonal and symplectic Yangians
D. R. Karakhanyana, R. Kirshnerb a Yerevan Physics Institute, Yerevan, Armenia
b Institut für Theoretische Physik, Universität Leipzig, Leipzig, Germany
Abstract:
Orthogonal or symplectic Yangians are defined by the Yang–Baxter $RLL$ relation involving the fundamental $R$-matrix with the corresponding $so(n)$ or $sp(2m)$ symmetry. We investigate the second-order solution conditions, where the expansion of $L(u)$ in $u^{-1}$ is truncated at the second power, and we derive the relations for the two nontrivial terms in $L(u)$.
Keywords:
integrable systems, Yang–Baxter relation, orthogonal Lie algebra, symplectic Lie algebra, truncated Yangian.
Received: 21.10.2016
Citation:
D. R. Karakhanyan, R. Kirshner, “Second-order evaluations of orthogonal and symplectic Yangians”, TMF, 192:2 (2017), 250–258; Theoret. and Math. Phys., 192:2 (2017), 1154–1161
Linking options:
https://www.mathnet.ru/eng/tmf9296https://doi.org/10.4213/tmf9296 https://www.mathnet.ru/eng/tmf/v192/i2/p250
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Abstract page: | 273 | Full-text PDF : | 75 | References: | 38 | First page: | 10 |
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