Valinevich Pavel Anatol'evich

Publications in Math-Net.Ru

1. A-Type Open ${\rm SL}(2,\mathbb{C})$ Spin Chain
   
   SIGMA, 21 (2025), 107, 48 pp.
2. Reflection operator and hypergeometry II: $SL(2,\mathbb{C})$ spin chain
   
   Zap. Nauchn. Sem. POMI, 532 (2024),  47–79
3. Boltzmann weights and fusion procedure for the rational seven-vertex SOS model
   
   Zap. Nauchn. Sem. POMI, 520 (2023),  17–49
4. Mellin–Barnes representation for $SL(2, \mathbb{C})$ magnet
   
   Zap. Nauchn. Sem. POMI, 494 (2020),  125–143
5. Construction of the Gelfand–Tsetlin basis for unitary principal series representations of the algebra $sl_n(\mathbb C)$
   
   TMF, 198:1 (2019),  162–174
6. Universal $R$-matrix for the rational seven-vertex model
   
   Zap. Nauchn. Sem. POMI, 487 (2019),  100–105
7. $\mathrm{SL}(2,\mathbb{C})$ Gustafson Integrals
   
   SIGMA, 14 (2018), 030, 16 pp.
8. Separation of variables for the quantum $SL(3,\mathbb{C})$ spin magnet: eigenfunctions of Sklyanin $B$-operator
   
   Zap. Nauchn. Sem. POMI, 473 (2018),  110–146
9. Orthogonal polynomials, $6j$-symbols and statistical weights of SOS models
   
   Zap. Nauchn. Sem. POMI, 465 (2017),  105–134
10. SOS-representation for the $SL(2,\mathbb C)$-invariant $R$-operator and Feynman diagrams
    
    Zap. Nauchn. Sem. POMI, 465 (2017),  82–104
11. Construction of eigenfunctions for a system of quantum minors of the monodromy matrix for an $SL(n,\mathbb C)$-invariant spin chain
    
    TMF, 189:2 (2016),  149–175
12. Factorization of the $R$-matrix for the quantum algebra $U_q(s\ell_n)$
    
    Zap. Nauchn. Sem. POMI, 374 (2010),  92–106
13. Factorization of the $\mathcal R$-matrix for the algebra $U_q(s\ell_3)$
    
    Zap. Nauchn. Sem. POMI, 347 (2007),  88–106