S. Pakuliak

activity

20052026

most citedOn the R-matrix realization of quantum loop algebras

6 citations · 9 across the 8 of their papers we have counts for

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math.QA2024

Rectangular Recurrence Relations in $gl_{n}$ and $o_{2 n + 1}$ Invariant Integrable Models

Andrii Liashyk, Stanislav Pakuliak, Eric Ragoucy

A new method is introduced to derive general recurrence relations for off-shell Bethe vectors in quantum integrable models with either type $gl_{n}$ or type $\mathfrak{o}_…

math.QA2024

On the R-matrix realization of the quantum loop algebra. The case of $U_{q} (D_{n}^{(2)})$

A. Liashyk, S. Pakuliak

The connection between the R-matrix realization and Drinfeld's realization of the quantum loop algebra $U_{q} (D_{n}^{(2)})$ is considered using the Gaussian decomposition approach prop…

math.QA2005

Basic representations of quantum current algebras in higher genus

B. Enriquez, S. Pakuliak, V. Rubtsov

We construct level 1 basic representations of the quantized current algebras associated to higher genus algebraic curves using one free field. We also clarify the relation between…

Rectangular Recurrence Relations in gln​ and o2n+1​ Invariant Integrable Models

On the R-matrix realization of the quantum loop algebra. The case of Uq​(Dn(2)​)

Basic representations of quantum current algebras in higher genus

Rectangular Recurrence Relations in $gl_{n}$ and $o_{2 n + 1}$ Invariant Integrable Models

On the R-matrix realization of the quantum loop algebra. The case of $U_{q} (D_{n}^{(2)})$