Liashyk Andrii Nikolaevich

Publications in Math-Net.Ru

1. Rectangular Recurrence Relations in $\mathfrak{gl}_{n}$ and $\mathfrak{o}_{2n+1}$ Invariant Integrable Models
   
   SIGMA, 21 (2025), 078, 28 pp.
2. Algebraic Bethe ansatz for $\mathfrak o_{2n+1}$-invariant integrable models
   
   TMF, 206:1 (2021),  23–46
3. Actions of the monodromy matrix elements onto $\mathfrak{gl}(m|n)$-invariant Bethe vectors
   
   J. Stat. Mech., 2020, 93104, 31 pp.
4. Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types
   
   SIGMA, 16 (2020), 120, 23 pp.
5. New symmetries of ${\mathfrak{gl}(N)}$-invariant Bethe vectors
   
   J. Stat. Mech., 2019 (2019), 44001, 24 pp.
6. Bethe vectors for orthogonal integrable models
   
   TMF, 201:2 (2019),  153–174
7. On Bethe vectors in $\mathfrak{gl}_3$-invariant integrable models
   
   JHEP, 2018 (2018), 018, 31 pp.
8. Norm of Bethe vectors in models with $\mathfrak{gl}(m|n)$ symmetry
   
   Nuclear Phys. B, 926 (2018),  256–278
9. Scalar products and norm of Bethe vectors for integrable models based on $U_q(\widehat{\mathfrak{gl}}_n)$
   
   SciPost Phys., 4 (2018),  6–30
10. Scalar products of Bethe vectors in models with $\mathfrak{gl}(2|1)$ symmetry 2. Determinant representation
    
    J. Phys. A, 50:3 (2017), 34004, 22 pp.
11. Scalar products of Bethe vectors in the models with $\mathfrak{gl}(m|n)$ symmetry
    
    Nuclear Phys. B, 923 (2017),  277–311
12. Current presentation for the super-Yangian double $DY(\mathfrak{gl}(m|n))$ and Bethe vectors
    
    Uspekhi Mat. Nauk, 72:1(433) (2017),  37–106
13. Asymmetric six-vertex model and the classical Ruijsenaars–Schneider system of particles
    
    TMF, 192:2 (2017),  235–249
14. Scalar products of Bethe vectors in models with $\mathfrak{gl}(2|1)$ symmetry. 1. Super-analog of Reshetikhin formula
    
    J. Phys. A, 49:45 (2016), 454005, 28 pp.
15. Form factors of the monodromy matrix entries in gl(2|1)-invariant integrable models
    
    Nuclear Phys. B, 911 (2016),  902–927
16. Trigonometric version of quantum–classical duality in integrable systems
    
    Nuclear Phys. B, 903 (2016),  150–163
17. Multiple actions of the monodromy matrix in $\mathfrak{gl}(2|1)$-invariant integrable models
    
    SIGMA, 12 (2016), 099, 22 pp.