Pakuliak Stanislav Zdislavovich

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. Norm of Bethe vectors in models with $\mathfrak{gl}(m|n)$ symmetry
   
   Nuclear Phys. B, 926 (2018),  256–278
8. Scalar products and norm of Bethe vectors for integrable models based on $U_q(\widehat{\mathfrak{gl}}_n)$
   
   SciPost Phys., 4 (2018),  6–30
9. Bethe vectors for models based on the super-Yangian $Y(gl(m|n))$
   
   J. Integrab. Syst., 2 (2017),  1–31
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. 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.
14. Form factors of the monodromy matrix entries in gl(2|1)-invariant integrable models
    
    Nuclear Phys. B, 911 (2016),  902–927
15. Multiple actions of the monodromy matrix in $\mathfrak{gl}(2|1)$-invariant integrable models
    
    SIGMA, 12 (2016), 099, 22 pp.
16. Form factors of local operators in a one-dimensional two-component Bose gas
    
    J. Phys. A, 48:43 (2015), 435001, 21 pp.
17. Zero modes method and form factors in quantum integrable models
    
    Nuclear Phys. B, 893 (2015),  459–481
18. ${\rm GL}(3)$-Based Quantum Integrable Composite Models. II. Form Factors of Local Operators
    
    SIGMA, 11 (2015), 064, 18 pp.
19. ${\rm GL}(3)$-Based Quantum Integrable Composite Models. I. Bethe Vectors
    
    SIGMA, 11 (2015), 063, 20 pp.
20. Bethe vectors of quantum integrable models based on $U_q(\hat{\mathfrak{gl}}_N)$
    
    J. Phys. A, 47:10 (2014), 105202, 16 pp.
21. Form factors in quantum integrable models with $GL(3)$-invariant $R$-matrix
    
    Nuclear Phys. B, 881 (2014),  343–368
22. Determinant representations for form factors in quantum integrable models with the $GL(3)$-invariant $R$-matrix
    
    TMF, 181:3 (2014),  515–537
23. Scalar products in models with the $GL(3)$ trigonometric $R$-matrix: General case
    
    TMF, 180:1 (2014),  51–71
24. Scalar products in models with a $GL(3)$ trigonometric $R$-matrix: Highest coefficient
    
    TMF, 178:3 (2014),  363–389
25. Form factors in $SU(3)$-invariant integrable models
    
    J. Stat. Mech., 2013:4 (2013), 4033, 16 pp.
26. Bethe vectors of $GL(3)$-invariant integrable models
    
    J. Stat. Mech., 2013:2 (2013), 2020, 24 pp.
27. Bethe Vectors of Quantum Integrable Models with $\mathrm{GL}(3)$ Trigonometric $R$-Matrix
    
    SIGMA, 9 (2013), 058, 23 pp.
28. Highest coefficient of scalar products in $SU(3)$-invariant integrable models
    
    J. Stat. Mech., 2012:9 (2012), 9003, 17 pp.
29. The algebraic Bethe ansatz for scalar products in $SU(3)$-invariant integrable models
    
    J. Stat. Mech., 2012 (2012), 10017, 25 pp.
30. Universal Bethe Ansatz and Scalar Products of Bethe Vectors
    
    SIGMA, 6 (2010), 094, 22 pp.
31. On the universal weight function for the quantum affine algebra $U_q(\widehat{\mathfrak{gl}}_N)$
    
    Algebra i Analiz, 21:4 (2009),  196–240
32. Generating Series for Nested Bethe Vectors
    
    SIGMA, 4 (2008), 081, 23 pp.
33. Projection method and a universal weight function for the quantum affine algebra $U_q(\widehat{\mathfrak{sl}}_{N+1})$
    
    TMF, 150:2 (2007),  286–303
34. Weight Function for the Quantum Affine Algebra $U_{q}(\widehat{\frak{sl}}_3)$
    
    TMF, 145:1 (2005),  3–34
35. Spectral Curves and Parameterization of a Discrete Integrable Three-Dimensional Model
    
    TMF, 136:1 (2003),  30–51
36. Factorization of the universal $\mathcal R $-matrix for ${U_q(\widehat{sl}_2)} $
    
    TMF, 124:2 (2000),  179–214
37. Zamolodchikov–Faddeev algebras for Yangian doubles at level 1
    
    TMF, 110:1 (1997),  25–45
38. On the bosonization of $L$-operators for quantum affine algebra $U_q(\mathfrak{sl}_2)$
    
    TMF, 104:1 (1995),  64–77
39. The dressing techniques for intermediate hierarchies
    
    TMF, 103:3 (1995),  422–436
40. On the continuum limit of the conformal matrix models
    
    TMF, 95:2 (1993),  317–340