Ballester-Bolinches, A.; Esteban-Romero, R.; Kurdachenko, L. A.; Pérez-Calabuig, V. On left braces in which every subbrace is an ideal. (English) Zbl 07971715 Result. Math. 80, No. 1, Paper No. 21, 21 p. (2025). MSC: 16T25 16N40 81R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mukherjee, Snehashis Classification of right nilpotent \(\mathbb{F}_p\)-braces of cardinality \(p^5\). (English) Zbl 07971448 J. Algebra 665, 503-537 (2025). MSC: 16T25 17B30 81R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Byott, Nigel P.; Ferri, Fabio On the number of quaternion and dihedral braces and Hopf-Galois structures. (English) Zbl 07971434 J. Algebra 665, 72-102 (2025). MSC: 20N99 16T05 12F10 16T25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Belwal, Pragya; Rathee, Nishant; Singh, Mahender Cohomology and extensions of relative Rota-Baxter groups. (English) Zbl 07960184 J. Geom. Phys. 207, Article ID 105353, 23 p. (2025). Reviewer: Egle Bettio (Venezia) MSC: 20E22 17B38 16T25 81R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazzotta, Marzia Set-theoretical solutions to the pentagon equation: a survey. (English) Zbl 07931596 Commun. Math. 33, No. 3, Paper No. 2, 17 p. (2025). Reviewer: Sonia Natale (Córdoba) MSC: 16T25 81R50 × Cite Format Result Cite Review PDF Full Text: arXiv
Huang, Hongdi; Nguyen, Van C.; Ure, Charlotte; Vashaw, Kent B.; Veerapen, Padmini; Wang, Xingting Twisting of graded quantum groups and solutions to the quantum Yang-Baxter equation. (English) Zbl 07960988 Transform. Groups 29, No. 4, 1459-1500 (2024). MSC: 16T05 16W50 16S37 16T25 17B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Motegi, Kohei Factorization of rational six vertex model partition functions. (English) Zbl 07959157 Nucl. Phys., B 1009, Article ID 116743, 10 p. (2024). MSC: 81-XX 83-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shalev, Aner; Smoktunowicz, Agata Groups, Lie rings and braces. (English) Zbl 07958090 Bull. Belg. Math. Soc. - Simon Stevin 31, No. 4, 422-433 (2024). MSC: 17A99 17B38 17B25 × Cite Format Result Cite Review PDF Full Text: DOI
Goncharov, M. E. On connection between Rota-Baxter operators and solutions of the classical Yang-Baxter equation with an ad-invariant symmetric part on general linear algebra. (English) Zbl 07949520 Sib. Èlektron. Mat. Izv. 21, No. 1, 81-97 (2024). MSC: 17B38 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Bai, Chengming; Guo, Li; Ma, Tianshui Bialgebras, Frobenius algebras and associative Yang-Baxter equations for Rota-Baxter algebras. (English) Zbl 07949227 Asian J. Math. 28, No. 3, 411-436 (2024). MSC: 16T10 16T25 17B38 17A30 17B62 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballester-Bolinches, A.; Esteban-Romero, R.; Kurdachenko, L. A.; Pérez-Calabuig, V. On Dedekind left braces. (English) Zbl 07943287 Southeast Asian Bull. Math. 48, No. 6, 741-750 (2024). MSC: 16T25 16N40 81R50 × Cite Format Result Cite Review PDF Full Text: Link
Jones, Mitchell; Isaac, Phillip S.; Links, Jon An integrability illusion: vanishing transfer matrices associated with generalised Gaudin superalgebras. (English) Zbl 07943211 Nucl. Phys., B 1008, Article ID 116706, 16 p. (2024). MSC: 81-XX 83-XX × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Kun; Hao, Kun; Yu, Kwangmin; Korepin, Vladimir; Yang, Wen-Li Geometric representations of braid and Yang-Baxter gates. (English) Zbl 07936744 J. Phys. A, Math. Theor. 57, No. 44, Article ID 445303, 24 p. (2024). MSC: 81-XX 82-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lu, Pengcheng; Cao, Junpeng; Yang, Wen-Li; Marquette, Ian; Zhang, Yao-Zhong \(t\)-\(W\) relation and free energy of the antiperiodic XXZ chain with \(\eta = \frac{i\pi}{3}\) at a finite temperature. (English) Zbl 07936739 J. Phys. A, Math. Theor. 57, No. 44, Article ID 445205, 15 p. (2024). MSC: 82-XX 80-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hernandez, David; Zhang, Huafeng Shifted Yangians and polynomial \(R\)-matrices. (English) Zbl 07926272 Publ. Res. Inst. Math. Sci. 60, No. 1, 1-69 (2024). MSC: 16T25 20G42 81R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Yunjie; Wu, Cuilan; Wu, Gang Solutions of the Yang-Baxter-like matrix equation with \(3 \times 3\) diagonalizable coefficient matrix. (English) Zbl 1548.65099 Linear Multilinear Algebra 72, No. 14, 2347-2367 (2024). MSC: 65F45 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Schnitzer, Jonas No-go theorems for \(r\)-matrices in symplectic geometry. (English) Zbl 1547.53091 Commun. Anal. Mech. 16, No. 3, 448-456 (2024). MSC: 53D05 17B38 16W25 × Cite Format Result Cite Review PDF Full Text: DOI
Puljić, Dora Classification of braces of cardinality \(p^4\). (English) Zbl 07920049 J. Algebra 660, 1-33 (2024). MSC: 81R50 16T25 20D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rybołowicz, Bernard Skew braces and the braid equation on sets. (English) Zbl 07919706 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XL, workshop, Białowieża, Poland, June 20–25, 2023. Cham: Birkhäuser. Trends Math., 145-152 (2024). MSC: 16T25 81R50 × Cite Format Result Cite Review PDF Full Text: DOI
Lechner, Gandalf Twisted Araki-Woods algebras, the Yang-Baxter equation, and quantum field theory. (English) Zbl 07919705 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XL, workshop, Białowieża, Poland, June 20–25, 2023. Cham: Birkhäuser. Trends Math., 127-144 (2024). MSC: 46L60 81T05 46L10 16T25 46L54 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brubaker, Ben; Buciumas, Valentin; Bump, Daniel; Gustafsson, Henrik P. A. Colored vertex models and Iwahori Whittaker functions. (English) Zbl 07918123 Sel. Math., New Ser. 30, No. 4, Paper No. 78, 58 p. (2024). Reviewer: Ivan Matić (Osijek) MSC: 22E50 11F70 16T25 05E05 82B23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Erfanifar, Raziyeh; Hajarian, Masoud On sign function of tensors with Einstein product and its application in solving Yang-Baxter tensor equation. (English) Zbl 07910920 Comput. Appl. Math. 43, No. 6, Paper No. 373, 10 p. (2024). MSC: 15A24 65F10 65F30 × Cite Format Result Cite Review PDF Full Text: DOI
Dai, Han Finite-dimensional Hopf superalgebras and graded pentagon equation. (English) Zbl 07904740 J. Geom. Phys. 203, Article ID 105271, 12 p. (2024). MSC: 16T05 16T25 17A70 × Cite Format Result Cite Review PDF Full Text: DOI
Ballester-Bolinches, A.; Esteban-Romero, R.; Jiménez-Seral, P.; Pérez-Calabuig, V. Soluble skew left braces and soluble solutions of the Yang-Baxter equation. (English) Zbl 07902804 Adv. Math. 455, Article ID 109880, 27 p. (2024). Reviewer: Thomas Weber (Prague) MSC: 16T25 20D10 81R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Guilai; Bai, Chengming Relative Poisson bialgebras and Frobenius Jacobi algebras. (English) Zbl 07902536 J. Noncommut. Geom. 18, No. 3, 995-1039 (2024). MSC: 17B63 17A36 18M70 17D25 17A40 37J39 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cedó, F.; Okniński, J. Corrigendum to: “Constructing finite simple solutions of the Yang-Baxter equation”. (English) Zbl 1543.16034 Adv. Math. 451, Article ID 109807, 3 p. (2024). MSC: 16T25 20B15 20F16 × Cite Format Result Cite Review PDF Full Text: DOI
Senturk, Ibrahim; Oner, Tahsin; Saeid, Arsham Borumand Set-theoretical solutions for the Yang-Baxter equation in triangle algebras. (English) Zbl 07900217 Discuss. Math., Gen. Algebra Appl. 44, No. 1, 15-42 (2024). MSC: 03G25 16T25 06D99 06C15 81P10 × Cite Format Result Cite Review PDF Full Text: DOI
Belwal, Pragya; Rathee, Nishant; Singh, Mahender Schur multiplier and Schur covers of relative Rota-Baxter groups. (English) Zbl 07897483 J. Algebra 657, 327-362 (2024). MSC: 20E22 17B38 16T25 81R50 19C09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Castelli, M.; Ramírez, S. On uniconnected solutions of the Yang-Baxter equation and Dehornoy’s class. (English) Zbl 07897475 J. Algebra 657, 57-80 (2024). Reviewer: Atabey Kaygun (İstanbul) MSC: 16T25 81R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Xiaohui; Wang, Wei; Chen, Juzhen Parametric representations of BiHom-Hopf algebras. (English) Zbl 07893367 Czech. Math. J. 74, No. 1, 45-86 (2024). MSC: 16T99 16T25 16W10 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Jiasheng; Lu, Pengcheng; Cao, Junpeng; Yang, Wen-Li; Marquette, Ian; Zhang, Yao-Zhong Root patterns and exact surface energy of the spin-1 Heisenberg model with generic open boundaries. (English) Zbl 07885517 J. Phys. A, Math. Theor. 57, No. 30, Article ID 305202, 15 p. (2024). × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ikramov, Kh. D.; Chugunov, V. N. Nonsingular solutions of the matrix equation \(XAX=AXA\) and the centralizer of the matrix \(A \). (English. Russian original) Zbl 1544.15020 Mosc. Univ. Comput. Math. Cybern. 48, No. 2, 98-103 (2024); translation from Vestn. Mosk. Univ., Ser. XV 2024, No. 2, 31-40 (2024). MSC: 15A24 16T25 × Cite Format Result Cite Review PDF Full Text: DOI
Müller-Hoissen, Folkert On the structure of set-theoretic polygon equations. (English) Zbl 07878078 SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 051, 30 p. (2024). MSC: 16T05 15A69 16T25 17A01 18D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gitlin, Andrew; Keating, David A vertex model for supersymmetric LLT polynomials. (English) Zbl 1542.05175 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 11, No. 3, 571-640 (2024). MSC: 05E05 05E10 81R12 16T25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazzotta, Marzia Idempotent set-theoretical solutions of the pentagon equation. (English) Zbl 07873922 Boll. Unione Mat. Ital. 17, No. 2, 457-469 (2024). Reviewer: Carsten Dietzel (Caen) MSC: 16T25 81R50 20M99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chirkov, M.; Konstantinou-Rizos, S. On the solutions of the local Zamolodchikov tetrahedron equation. (English) Zbl 1547.39010 J. Phys. A, Math. Theor. 57, No. 24, Article ID 245203, 16 p. (2024). MSC: 39A36 37J70 37K60 16T25 17B38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kolyaskin, Dmitry; Mangazeev, Vladimir V. Triangular solutions to the reflection equation for \(U_q(\widehat{sl_n})\). (English) Zbl 07871259 J. Phys. A, Math. Theor. 57, No. 24, Article ID 245201, 25 p. (2024). × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brubaker, Ben; Buciumas, Valentin; Bump, Daniel; Gustafsson, Henrik P. A. Iwahori-metaplectic duality. (English) Zbl 07870399 J. Lond. Math. Soc., II. Ser. 109, No. 6, Article ID e12896, 54 p. (2024). Reviewer: Nasir N. Ganikhodjaev (Tashkent) MSC: 82B23 82B20 22E50 16T25 05E05 17B37 17B69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Childs, Lindsay N. Skew left braces and the Yang-Baxter equation. (English) Zbl 1546.16032 New York J. Math. 30, 649-655 (2024). Reviewer: Leandro Vendramin (Brussel) MSC: 16T25 16-02 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Pourkia, A. Yang-Baxter equation in all dimensions and universal qudit gates. (English. Russian original) Zbl 1544.16031 Theor. Math. Phys. 219, No. 1, 544-556 (2024); translation from Teor. Mat. Fiz. 219, No. 1, 17-31 (2024). MSC: 16T25 03G12 81P10 × Cite Format Result Cite Review PDF Full Text: DOI
Gan, Yudan; Zhou, Duanmei Iterative methods based on low-rank matrix for solving the Yang-Baxter-like matrix equation. (English) Zbl 07862473 Comput. Appl. Math. 43, No. 4, Paper No. 241, 19 p. (2024). MSC: 65F45 17B38 65F55 15A24 × Cite Format Result Cite Review PDF Full Text: DOI
Smoktunowicz, Agata More on skew braces and their ideals. (English) Zbl 1544.16032 Mann, Avinoam (ed.) et al., Amitsur centennial symposium, virtual and the Israel Institute for Advanced Studies (IIAS), The Hebrew University of Jerusalem, Jerusalem, Israel, November 1–4, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 800, 301-308 (2024). MSC: 16T25 16N60 17A65 × Cite Format Result Cite Review PDF Full Text: DOI
Facchini, Alberto; Pompili, Mara Semidirect products of digroups and skew braces. (English) Zbl 1547.16030 Bull. Belg. Math. Soc. - Simon Stevin 31, No. 1, 40-53 (2024). Reviewer: Leandro Vendramin (Brussel) MSC: 16T25 18E13 20N99 × Cite Format Result Cite Review PDF Full Text: DOI
Mabrouk, Sami; Ncib, Othmen; Sendi, Sihem Yang-Baxter equations and \(\mathcal{O}\)-operators of a Hom-Jordan superalgebra with representation. (English) Zbl 07851970 J. Geom. Phys. 201, Article ID 105215, 18 p. (2024). MSC: 17B61 17D15 17D30 17B38 16T25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bourn, Dominique Split epimorphisms and Baer sums of skew left braces. (English) Zbl 1545.16030 J. Algebra 652, 188-207 (2024). Reviewer: Lorenzo Stefanello (Pisa) MSC: 16T25 18E13 20N99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballester-Bolinches, A.; Esteban-Romero, R.; Pérez-Calabuig, V. A Jordan-Hölder theorem for skew left braces and their applications to multipermutation solutions of the Yang-Baxter equation. (English) Zbl 1547.17034 Proc. R. Soc. Edinb., Sect. A, Math. 154, No. 3, 793-809 (2024). MSC: 17B38 16T25 × Cite Format Result Cite Review PDF Full Text: DOI
Bai, Chengming; Guo, Li; Liu, Guilai; Ma, Tianshui Rota-Baxter Lie bialgebras, classical Yang-Baxter equations and special L-dendriform bialgebras. (English) Zbl 07845602 Algebr. Represent. Theory 27, No. 2, 1347-1372 (2024). MSC: 17B38 16T25 17B62 17A30 17A36 17D25 17B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazzotta, Marzia; Pérez-Calabuig, Vicent; Stefanelli, Paola Set-theoretical solutions of the pentagon equation on Clifford semigroups. (English) Zbl 1547.16031 Semigroup Forum 108, No. 2, 413-431 (2024). Reviewer: Sonia Natale (Córdoba) MSC: 16T25 17B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guccione, Jorge A.; Guccione, Juan J.; Valqui, Christian Solutions of the braid equation attached to power series. (English) Zbl 07841612 Commun. Algebra 52, No. 7, 2774-2814 (2024). MSC: 16T25 16T15 × Cite Format Result Cite Review PDF Full Text: DOI
Rump, Wolfgang Cofinite integral braces and flat manifolds. (English) Zbl 07841520 J. Algebra 649, 273-301 (2024). MSC: 17B38 81R12 20H15 57N45 × Cite Format Result Cite Review PDF Full Text: DOI
Frassek, Rouven; Tsymbaliuk, Alexander Orthosymplectic superoscillator Lax matrices. (English) Zbl 07837886 Lett. Math. Phys. 114, No. 2, Paper No. 49, 39 p. (2024). MSC: 17B37 81R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lebed, Victoria; Ramírez, Santiago; Vendramin, Leandro Involutive Yang-Baxter: cabling, decomposability, and Dehornoy class. (English) Zbl 07835934 Rev. Mat. Iberoam. 40, No. 2, 623-635 (2024). Reviewer: Agata Pilitowska (Warszawa) MSC: 16T25 17D99 08A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matushko, M.; Zotov, A. Supersymmetric generalization of \(q\)-deformed long-range spin chains of Haldane-Shastry type and trigonometric \(\mathrm{GL}(N|M)\) solution of associative Yang-Baxter equation. (English) Zbl 1546.81102 Nucl. Phys., B 1001, Article ID 116499, 14 p. (2024). MSC: 81R12 81U15 39A70 82B20 82B23 16T25 17B38 17B80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Shuoyang; Yue, Xiaoqing Lie bialgebra structure of derivation Lie algebra over quantum torus. (English) Zbl 07834631 Front. Math. (Beijing) 19, No. 1, 143-160 (2024). MSC: 17B62 17B05 17B37 17B66 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yunnan; Sheng, Yunhe; Tang, Rong Post-Hopf algebras, relative Rota-Baxter operators and solutions to the Yang-Baxter equation. (English) Zbl 07828328 J. Noncommut. Geom. 18, No. 2, 605-630 (2024). MSC: 16T05 16T25 17B38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feingesicht, Edouard Dehornoy’s class and Sylows for set-theoretical solutions of the Yang-Baxter equation. (English) Zbl 1545.16033 Int. J. Algebra Comput. 34, No. 1, 147-173 (2024). Reviewer: Leandro Vendramin (Brussel) MSC: 16T25 20N02 20C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Laraiedh, Ismail Differential mock-Lie bialgebras and admissible mock-Lie Yang-Baxter equations. (English) Zbl 1536.17032 J. Geom. Phys. 198, Article ID 105135, 16 p. (2024). MSC: 17B62 16T10 16T25 17B38 17B10 × Cite Format Result Cite Review PDF Full Text: DOI
Bai, Chengming; Guo, Li; Sheng, Yunhe; Tang, Rong Post-groups, (Lie-)Butcher groups and the Yang-Baxter equation. (English) Zbl 1535.22061 Math. Ann. 388, No. 3, 3127-3167 (2024). Reviewer: Lorenzo Stefanello (Pisa) MSC: 22E60 16T25 17B38 16T05 18M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guccione, Jorge A.; Guccione, Juan J.; Valqui, Christian Set-theoretic type solutions of the braid equation. (English) Zbl 1539.16024 J. Algebra 644, 461-525 (2024). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T25 16T15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Algethami, D.; Mudrov, A.; Stukopin, V. Solutions to graded reflection equation of \(\mathrm{GL}\)-type. (English) Zbl 1536.17024 Lett. Math. Phys. 114, No. 1, Paper No. 22, 13 p. (2024). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B38 17B37 81R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kanrar, Arpan (In)decomposability of finite solutions of the Yang-Baxter equation. (English) Zbl 1541.16031 Arch. Math. 122, No. 2, 155-161 (2024). Reviewer: J. N. Alonso Alvarez (Vigo) MSC: 16T25 20B15 20F16 × Cite Format Result Cite Review PDF Full Text: DOI
Caudrelier, Vincent; Stoppato, Matteo; Vicedo, Benoît Classical Yang-Baxter equation, Lagrangian multiforms and ultralocal integrable hierarchies. (English) Zbl 1536.37063 Commun. Math. Phys. 405, No. 1, Paper No. 12, 67 p. (2024). Reviewer: Ma Wen-Xiu (Tampa) MSC: 37K10 37K58 37K30 16T25 17B80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ma, Tianshui; Long, Linlin Nijenhuis operators and associative D-bialgebras. (English) Zbl 07796380 J. Algebra 639, 150-186 (2024). MSC: 16T10 16T25 17B38 16W99 17A30 × Cite Format Result Cite Review PDF Full Text: DOI
Cedó, Ferran; Jespers, Eric; Verwimp, Charlotte Corrigendum and addendum to: “Structure monoids of set-theoretic solutions of the Yang-Baxter equation”. (English) Zbl 1534.16003 Publ. Mat., Barc. 68, No. 1, 241-250 (2024). MSC: 16T25 20M05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jedlička, Přemysl; Pilitowska, Agata Skew left braces and 2-reductive solutions of the Yang-Baxter equation. (English) Zbl 1545.16034 J. Pure Appl. Algebra 228, No. 4, Article ID 107514, 25 p. (2024). Reviewer: Leandro Vendramin (Brussel) MSC: 16T25 20B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Trombetti, Marco The structure skew brace associated with a finite non-degenerate solution of the Yang-Baxter equation is finitely presented. (English) Zbl 1548.16036 Proc. Am. Math. Soc. 152, No. 2, 573-583 (2024). Reviewer: Victoria Lebed (Caen) MSC: 16T25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Naprienko, Slava Free fermionic Schur functions. (English) Zbl 1529.05160 Adv. Math. 436, Article ID 109413, 44 p. (2024). MSC: 05E05 05E10 16T25 14N15 17B38 82B31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Assiry, Abdallah Symplectic forms and the Yang-Baxter equation in Jacobi-Jordan algebras. (English) Zbl 1538.17002 Int. J. Math. Comput. Sci. 19, No. 1, 23-36 (2024). MSC: 17A30 17B38 17C50 × Cite Format Result Cite Review PDF Full Text: Link
Lu, Linzhang Constructing solutions of the Yang-Baxter-like matrix equation for singular matrices. (English) Zbl 1540.15017 J. Comput. Appl. Math. 436, Article ID 115403, 8 p. (2024). MSC: 15A24 15A20 16T25 × Cite Format Result Cite Review PDF Full Text: DOI
Chtioui, Taoufik; Hajjaji, Atef; Mabrouk, Sami \(\mathcal{O}\)-operators of ternary Jordan algebras and Ternary Jordan Yang-Baxter equations. (English) Zbl 07955617 Asian-Eur. J. Math. 16, No. 2, Article ID 2350026, 22 p. (2023). MSC: 17A40 17B38 17C10 × Cite Format Result Cite Review PDF Full Text: DOI
Abdalrahman, Mohammed Ahmed Adam; Ding, Jiu; Huang, Qianglian Solving the Yang-Baxter-like matrix equation for a rank-one matrix. (English) Zbl 07921176 J. Appl. Anal. Comput. 13, No. 5, 2987-2994 (2023). MSC: 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Saijie; Li, Xiaoli; Zhu, Lanping; Huang, Qianglian Solutions of the Yang-Baxter-like matrix equation for the matrix with nonsingular Jordan blocks. (English) Zbl 07920357 J. Appl. Anal. Comput. 13, No. 2, 986-999 (2023). MSC: 15A24 15A09 × Cite Format Result Cite Review PDF Full Text: DOI
Westerfeld, Daniel; Großpietsch, Maxime; Kakuschke, Hannes; Frahm, Holger Factorization of density matrices in the critical RSOS models. (English) Zbl 07915104 J. Stat. Mech. Theory Exp. 2023, No. 8, Article ID 083104, 21 p. (2023). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Avan, Jean; Frappat, Luc; Ragoucy, Eric A new integrable structure associated to the Camassa-Holm peakons. (English) Zbl 1547.35534 SciPost Phys. 15, No. 6, Paper No. 228, 14 p. (2023). MSC: 35Q35 76B15 76B25 16T25 17B63 35C08 37K10 37K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Benali, Karima; Chtioui, Taoufik; Hajjaji, Atef; Mabrouk, Sami Bialgebras, the Yang-Baxter equation and Manin triples for mock-Lie algebras. (English) Zbl 1537.17002 Acta Comment. Univ. Tartu. Math. 27, No. 2, 211-233 (2023). MSC: 17A30 16T10 16T25 17B38 × Cite Format Result Cite Review PDF Full Text: DOI
Chekhov, L. O. Cluster variables for affine Lie-Poisson systems. (English. Russian original) Zbl 1546.81098 Theor. Math. Phys. 217, No. 3, 1987-2004 (2023); translation from Teor. Mat. Fiz. 217, No. 3, 672-693 (2023). MSC: 81R10 81R12 16T25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Russo, Alessio; Viscusi, Mario Central endomorphisms of groups and radical rings. (English) Zbl 1536.20043 Adv. Group Theory Appl. 17, 129-141 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20E36 16P20 16T25 × Cite Format Result Cite Review PDF Full Text: DOI
Dinčić, Nebojša Č.; Djordjević, Bogdan D. Yang-Baxter-like matrix equation: a road less taken. (English) Zbl 1533.15008 Moslehian, Mohammad Sal (ed.), Matrix and operator equations and applications. Cham: Springer. Math. Online First Collect., 241-346 (2023). MSC: 15A24 47A62 16T25 47A60 47J05 × Cite Format Result Cite Review PDF Full Text: DOI
Arizanović, Jovan Spectral properties of solutions of the Yang-Baxter-like matrix equation. (English) Zbl 07800608 Publ. Inst. Math., Nouv. Sér. 114(128), 1-8 (2023). MSC: 15A24 17B38 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Rump, Wolfgang Primes in coverings of indecomposable involutive set-theoretic solutions to the Yang-Baxter equation. (English) Zbl 1543.16035 Bull. Belg. Math. Soc. - Simon Stevin 30, No. 2, 260-280 (2023). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T25 81R50 08A05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Majid, Shahn; Simão, Francisco Quantum jet bundles. (English) Zbl 1538.83040 Lett. Math. Phys. 113, No. 6, Paper No. 120, 60 p. (2023). MSC: 83C65 81R50 58B32 46L87 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rani, Litika; Kansal, Munish Numerically stable iterative methods for computing matrix sign function. (English) Zbl 1532.65021 Math. Methods Appl. Sci. 46, No. 8, 8596-8617 (2023). MSC: 65F45 15A24 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Letourmy, Thomas; Vendramin, Leandro Isoclinism of skew braces. (English) Zbl 1535.16043 Bull. Lond. Math. Soc. 55, No. 6, 2891-2906 (2023). Reviewer: J. N. Alonso Alvarez (Vigo) MSC: 16T25 17D99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caudrelier, Vincent; Gkogkou, Aikaterini; Prinari, Barbara Soliton interactions and Yang-Baxter maps for the complex coupled short-pulse equation. (English) Zbl 1533.35057 Stud. Appl. Math. 151, No. 1, 285-351 (2023). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35C08 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tang, Xiaomin; Liu, Na Modules of non-unital polynomial Rota-Baxter algebras. (English) Zbl 07768186 Algebr. Represent. Theory 26, No. 5, 1295-1318 (2023). MSC: 16G99 17B38 16P70 × Cite Format Result Cite Review PDF Full Text: DOI
Rump, Wolfgang Skew-braces and \(q\)-braces. (English) Zbl 1533.16064 Forum Math. 35, No. 6, 1631-1653 (2023). Reviewer: Cristian Vay (Córdoba) MSC: 16T25 81R50 05E18 × Cite Format Result Cite Review PDF Full Text: DOI
Castelli, Marco A characterization of finite simple set-theoretic solutions of the Yang-Baxter equation. (English) Zbl 1536.16032 Proc. Am. Math. Soc. 151, No. 12, 5047-5057 (2023). Reviewer: Oleksandr Tsymbaliuk (West Lafayette) MSC: 16T25 81R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Atalikov, K. R.; Zotov, A. V. Higher-rank generalization of the 11-vertex rational \(R\)-matrix: IRF-vertex relations and the associative Yang-Baxter equation. (English. Russian original) Zbl 1521.81114 Theor. Math. Phys. 216, No. 2, 1083-1103 (2023); translation from Teor. Mat. Fiz. 216, No. 2, 203-225 (2023). MSC: 81R50 17B37 16T25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kauffman, Louis H. Combinatorial knot theory and the Jones polynomial. (English) Zbl 1523.57007 J. Knot Theory Ramifications 32, No. 8, Article ID 2340011, 50 p. (2023). MSC: 57K10 57K14 57K16 57R56 57-02 57-03 01A60 01A70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bai, Chengming; Gao, Xing; Guo, Li; Zhang, Yi Operator forms of the nonhomogeneous associative classical Yang-Baxter equation. (English) Zbl 1533.16060 Adv. Theor. Math. Phys. 26, No. 7, 1965-2009 (2022). MSC: 16T25 17B38 81R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bahayou, Amine Triangular structures on flat Lie algebras. (English) Zbl 1548.17025 J. Lie Theory 33, No. 3, 875-886 (2023). Reviewer: Princy Randriambololondrantomalala (Antananarivo) MSC: 17B38 17B62 53D17 22E15 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Ni, Xiang; Bai, Chengming On quadri-bialgebras. (English) Zbl 1529.16034 Du, Jie (ed.) et al., Forty years of algebraic groups, algebraic geometry, and representation theory in China. In memory of the centenary year of Xihua Cao’s birth. East China Normal University Scientific Reports 16. Subseries of Symposia and Topic Studies. Singapore: World Scientific. 75-108 (2023). MSC: 16T10 16T25 17B38 17A30 18M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cedó, F.; Okniński, J. Indecomposable solutions of the Yang-Baxter equation of square-free cardinality. (English) Zbl 1531.16029 Adv. Math. 430, Article ID 109221, 26 p. (2023). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T25 20B15 20F16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ramírez, S. Indecomposable solutions of the Yang-Baxter equation with permutation group of sizes \(pq\) and \(p^2 q\). (English) Zbl 1528.16033 Commun. Algebra 51, No. 10, 4185-4194 (2023). Reviewer: Lorenzo Stefanello (Pisa) MSC: 16T25 81R50 17B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballester-Bolinches, A.; Esteban-Romero, R.; Jiménez-Seral, P.; Pérez-Calabuig, V. On Yang-Baxter groups. (English) Zbl 1515.81157 Quaest. Math. 46, No. 7, 1273-1281 (2023). MSC: 81R50 20F29 20B35 20F16 20C05 16S34 16T25 × Cite Format Result Cite Review PDF Full Text: DOI
Konstantinou-Rizos, Sotiris Parametric 4-simplex maps of degenerated NLS type. (English) Zbl 1535.16042 Lobachevskii J. Math. 44, No. 3, 911-919 (2023). MSC: 16T25 35Q55 81R12 82B23 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Kaiqiang; Du, Xiankun Set-theoretical solutions to the Hom-Yang-Baxter equation and Hom-cycle sets. (English) Zbl 1527.16035 J. Algebra 631, 1-23 (2023). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T25 20N02 20N05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Doikou, Anastasia; Smoktunowicz, Agata From braces to Hecke algebras and quantum groups. (English) Zbl 1533.16059 J. Algebra Appl. 22, No. 8, Article ID 2350179, 28 p. (2023). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T20 16T25 17B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chouraqui, Fabienne On some Garsideness properties of structure groups of set-theoretic solutions of the Yang-Baxter equation. (English) Zbl 1517.20065 Commun. Algebra 51, No. 8, 3221-3231 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20F65 20F36 16T25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Igonin, S.; Konstantinou-Rizos, S. Local Yang-Baxter correspondences and set-theoretical solutions to the Zamolodchikov tetrahedron equation. (English) Zbl 1516.37076 J. Phys. A, Math. Theor. 56, No. 27, Article ID 275202, 18 p. (2023). MSC: 37J70 37K35 39A36 35Q55 16T25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv