Valinevich, P. A.; Derkachov, S. E.; Isaev, A. P.; Komisarchuk, A. V. Orthogonal polynomials, 6J-symbols, and statistical weights of SOS models. (English. Russian original) Zbl 1428.82018 J. Math. Sci., New York 238, No. 6, 834-853 (2019); translation from Zap. Nauchn. Semin. POMI 465, 105-134 (2017). Reviewer: Hasan Akin (Gaziantep) MSC: 82B20 17B81 PDFBibTeX XMLCite \textit{P. A. Valinevich} et al., J. Math. Sci., New York 238, No. 6, 834--853 (2019; Zbl 1428.82018); translation from Zap. Nauchn. Semin. POMI 465, 105--134 (2017) Full Text: DOI
Valinevich, P. A.; Derkachov, S. E.; Isaev, A. P. SOS-representation for the \(\operatorname{SL}(2,\mathbb{C})\)-invariant \(R\)-operator and Feynman diagrams. (English. Russian original) Zbl 1422.81106 J. Math. Sci., New York 238, No. 6, 819-833 (2019); translation from Zap. Nauchn. Semin. POMI 465, 82-104 (2017). MSC: 81Q30 81T18 22E70 16T25 PDFBibTeX XMLCite \textit{P. A. Valinevich} et al., J. Math. Sci., New York 238, No. 6, 819--833 (2019; Zbl 1422.81106); translation from Zap. Nauchn. Semin. POMI 465, 82--104 (2017) Full Text: DOI
Chicherin, D.; Derkachov, S. E.; Spiridonov, V. P. New elliptic solutions of the Yang-Baxter equation. (English) Zbl 1397.16034 Commun. Math. Phys. 345, No. 2, 507-543 (2016). MSC: 16T25 35A30 PDFBibTeX XMLCite \textit{D. Chicherin} et al., Commun. Math. Phys. 345, No. 2, 507--543 (2016; Zbl 1397.16034) Full Text: DOI arXiv
Derkachov, S. E.; Chicherin, D. Matrix factorization for solutions of the Yang-Baxter equation. (English. Russian original) Zbl 1341.81032 J. Math. Sci., New York 213, No. 5, 723-742 (2016); translation from Zap. Nauchn. Semin. POMI 433, 156-185 (2015). MSC: 81R12 16T25 17B45 17B81 65M06 PDFBibTeX XMLCite \textit{S. E. Derkachov} and \textit{D. Chicherin}, J. Math. Sci., New York 213, No. 5, 723--742 (2016; Zbl 1341.81032); translation from Zap. Nauchn. Semin. POMI 433, 156--185 (2015) Full Text: DOI arXiv
Derkachov, S. E.; Spiridonov, V. P. Finite-dimensional representations of the elliptic modular double. (English. Russian original) Zbl 1328.81132 Theor. Math. Phys. 183, No. 2, 597-618 (2015); translation from Teor. Mat. Fiz. 183, No. 2, 177-201 (2015). MSC: 81R50 16T25 17B37 33C75 11F03 PDFBibTeX XMLCite \textit{S. E. Derkachov} and \textit{V. P. Spiridonov}, Theor. Math. Phys. 183, No. 2, 597--618 (2015; Zbl 1328.81132); translation from Teor. Mat. Fiz. 183, No. 2, 177--201 (2015) Full Text: DOI arXiv
Derkachëv, S. È.; Manashov, A. N. General solution of the Yang-Baxter equation with symmetry group \(\mathrm{SL}(n,\mathbb C)\). (English. Russian original) Zbl 1194.81123 St. Petersbg. Math. J. 21, No. 4, 513-577 (2010); translation from Algebra Anal. 21, No. 4, 1-94 (2009). MSC: 81R12 16T25 17B10 PDFBibTeX XMLCite \textit{S. È. Derkachëv} and \textit{A. N. Manashov}, St. Petersbg. Math. J. 21, No. 4, 513--577 (2010; Zbl 1194.81123); translation from Algebra Anal. 21, No. 4, 1--94 (2009) Full Text: DOI
Derkachov, S. E. Factorization of the R-matrix and Baxter’s \(Q\)-operator. (English) Zbl 1288.81055 J. Math. Sci., New York 151, No. 2, 2880-2893 (2008) and Zap. Nauchn. Semin. POMI 347, 144-166 (2007). MSC: 81R12 PDFBibTeX XMLCite \textit{S. E. Derkachov}, J. Math. Sci., New York 151, No. 2, 2880--2893 (2008; Zbl 1288.81055) Full Text: DOI
Valinevich, P. A.; Derkachov, S. E.; Karakhanyan, D.; Kirschner, R. Factorization of the \(\mathcal R\)-matrix for the quantum algebra \({U_q(s\ell_3)}\). (English. Russian original) Zbl 1288.81060 J. Math. Sci., New York 151, No. 2, 2848-2858 (2008); translation from Zap. Nauchn. Semin. POMI 347, 88-106 (2007). MSC: 81R50 PDFBibTeX XMLCite \textit{P. A. Valinevich} et al., J. Math. Sci., New York 151, No. 2, 2848--2858 (2008; Zbl 1288.81060); translation from Zap. Nauchn. Semin. POMI 347, 88--106 (2007) Full Text: DOI arXiv
Derkachov, S. E.; Karakhanyan, D. R.; Kirschner, R.; Valinevich, P. Iterative construction of \(U_q(\mathrm{sl}(n+1))\) representations and Lax matrix factorisation. (English) Zbl 1243.17007 Lett. Math. Phys. 85, No. 2-3, 221-234 (2008). MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{S. E. Derkachov} et al., Lett. Math. Phys. 85, No. 2--3, 221--234 (2008; Zbl 1243.17007) Full Text: DOI arXiv
Derkachov, S.; Karakhanyan, D.; Kirschner, R. Yang-Baxter \(\mathcal R\)-operators and parameter permutations. (English) Zbl 1150.81008 Nucl. Phys., B 785, No. 3, 263-285 (2007). MSC: 81R12 81R50 82B23 PDFBibTeX XMLCite \textit{S. Derkachov} et al., Nucl. Phys., B 785, No. 3, 263--285 (2007; Zbl 1150.81008) Full Text: DOI arXiv
Derkachov, S.; Karakhanyan, D.; Kirschner, R. Baxter \(Q\)-operators of the \(XXZ\) chain and \(R\)-matrix factorization. (English) Zbl 1109.82008 Nucl. Phys., B 738, No. 3, 368-390 (2006). MSC: 82B23 82B20 PDFBibTeX XMLCite \textit{S. Derkachov} et al., Nucl. Phys., B 738, No. 3, 368--390 (2006; Zbl 1109.82008) Full Text: DOI arXiv