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Publications in Math-Net.Ru |
Citations |
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2024 |
| 1. |
P. V. Antonenko, N. M. Belousov, S. È. Derkachov, P. A. Valinevich, “Reflection operator and hypergeometry II: $SL(2,\mathbb{C})$ spin chain”, Zap. Nauchn. Sem. POMI, 532 (2024), 47–79  |
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2023 |
| 2. |
P. V. Antonenko, P. A. Valinevich, “Boltzmann weights and fusion procedure for the rational seven-vertex SOS model”, Zap. Nauchn. Sem. POMI, 520 (2023), 17–49 ; J. Math. Sci. (N. Y.), 284:5 (2024), 582–603 |
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2020 |
| 3. |
P. A. Valinevich, “Mellin–Barnes representation for $SL(2, \mathbb{C})$ magnet”, Zap. Nauchn. Sem. POMI, 494 (2020), 125–143 |
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2019 |
| 4. |
P. A. Valinevich, “Construction of the Gelfand–Tsetlin basis for unitary principal
series representations of the algebra $sl_n(\mathbb C)$”, TMF, 198:1 (2019), 162–174   ; Theoret. and Math. Phys., 198:1 (2019), 145–155   |
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| 5. |
P. A. Valinevich, P. V. Antonenko, “Universal $R$-matrix for the rational seven-vertex model”, Zap. Nauchn. Sem. POMI, 487 (2019), 100–105 |
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2018 |
| 6. |
Sergey É. Derkachov, Alexander N. Manashov, Pavel A. Valinevich, “$\mathrm{SL}(2,\mathbb{C})$ Gustafson Integrals”, SIGMA, 14 (2018), 030, 16 pp. |
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| 7. |
S. E. Derkachov, P. A. Valinevich, “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 ; J. Math. Sci. (N. Y.), 242:5 (2019), 658–682 |
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2017 |
| 8. |
P. A. Valinevich, S. E. Derkachov, A. P. Isaev, A. V. Komisarchuk, “Orthogonal polynomials, $6j$-symbols and statistical weights of SOS models”, Zap. Nauchn. Sem. POMI, 465 (2017), 105–134 ; J. Math. Sci. (N. Y.), 238:6 (2019), 834–853 |
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| 9. |
P. A. Valinevich, S. E. Derkachov, A. P. Isaev, “SOS-representation for the $SL(2,\mathbb C)$-invariant $R$-operator and Feynman diagrams”, Zap. Nauchn. Sem. POMI, 465 (2017), 82–104 ; J. Math. Sci. (N. Y.), 238:6 (2019), 819–833 |
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2016 |
| 10. |
P. A. Valinevich, S. È. Derkachev, P. P. Kulish, E. M. Uvarov, “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 ; Theoret. and Math. Phys., 189:2 (2016), 1529–1553 |
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2010 |
| 11. |
P. A. Valinevich, “Factorization of the $R$-matrix for the quantum algebra $U_q(s\ell_n)$”, Zap. Nauchn. Sem. POMI, 374 (2010), 92–106 ; J. Math. Sci. (N. Y.), 168:6 (2010), 811–819 |
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2007 |
| 12. |
P. A. Valinevich, S. È. Derkachev, D. R. Karakhanyan, R. Kirshner, “Factorization of the $\mathcal R$-matrix for the algebra $U_q(s\ell_3)$”, Zap. Nauchn. Sem. POMI, 347 (2007), 88–106 ; J. Math. Sci. (N. Y.), 151:2 (2008), 2848–2858 |
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