[1] M. Aguiar, Pre-Poisson algebras, Lett. Math. Phys., 54 no. 4(2000) 263–277.
[2] C. Bai, O. Bellier, L. Guo and X. Ni, Splitting of operations, Manin products, and Rota-Baxter operators, Int. Math. Res. Not. IMRN, 2013 no. 3 (2012) 485–524.
[3] V. G. Bardakov and V. Gubarev, Rota–Baxter operators on groups, Proc. Indian Acad. Sci. Math. Sci., 133 no. 1 (2023) Paper No. 4, 29 pp.
[4] V. G. Bardakov and V. Gubarev, Rota–Baxter groups, skew left braces, and the Yang-Baxter equation, J. Algebra, 596 (2022) 328–351.
[5] G. Baxter, An analytic problem whose solution follows from a simple algebraic identity, Pacific J. Math., 10 (1960) 731–742.
[6] A. A. Belavin and V. G. Drinfel’d. Solutions of the classical Yang-Baxter equation for simple Lie algebras, Funct. Anal. Appl., 16 no. 3 (1982) 159–180.
[7] F. Catino, M. Mazzotta, P. Stefanelli, Rota–Baxter operators on Clifford semigroups and the Yang–Baxter equation, J. Algebra, 622 (2023) 587–613.
[8] A. Das, N. Rathee, Extensions and automorphisms of Rota–Baxter groups, J. Algebra, 636 (2023) 626–665.
[9] A. Galt and V. Gubarev, Rota–Baxter operators on dihedral and alternating groups, Adv. Group Theory Appl., 23 (2026) (accepted).
[10] M. Goncharov, Rota–Baxter operators on cocommutative Hopf algebras, J. Algebra, 582 (2021) 39–56.
[11] M. Goncharov and V. Gubarev, Double Lie algebras of nonzero weight, Adv. Math. 409 (2022) part B, Paper No. 108680, 30 pp.
[12] M. E. Goncharov and P. S. Kolesnikov. Simple finite-dimensional double algebras, J. Algebra, 500 (2018) 425–438.
[13] L. Guarnieri and L. Vendramin, Skew braces and the Yang–Baxter equation, Math. Comp. 86 no. 307 (2017) 2519–2534.
[14] L. Guo, An introduction to Rota-Baxter algebra, Surveys of Modern Mathematics, 4, International Press, Somerville (MA, USA); Higher education press, Beijing, 2012.
[15] L. Guo, H. Lang and Yu. Sheng, Integration and geometrization of Rota–Baxter Lie algebras, Adv. Math., 387 (2021) Paper No. 107834, 34 pp.
[16] C. Hering, M. W. Liebeck and J. Saxl, The factorizations of the finite exceptional groups of Lie type, J. Algebra, 106 no. 2 (1987) 517–527.
[17] J. Jiang, Y. Sheng and C. Zhu, Lie theory and cohomology of relative Rota-Baxter operators, J. Lond. Math. Soc. (2), 109 no. 2 (2024) Paper No. e12863, 34 pp.
[18] J. Jiang, Y. Sheng and C. Zhu, On the integration of relative Rota-Baxter Lie algebras, arXiv:2410.23547.
[19] M. W. Liebeck, C. E. Praeger and J. Saxl, The maximal factorizations of the finite simple groups and their automorphism groups, Mem. Amer. Math. Soc., 86 no. 432 (1990) iv+151 pp.
[20] M. W. Liebeck and C. E. Praeger, Maps, simple groups, and arc-transitive graphs, Adv. Math., 462 (2025) Paper No. 110086, 56 pp.
[21] A. Odesskii, V. Rubtsov and V. Sokolov, Double Poisson brackets on free associative algebras, Noncommutative birational geometry, representations and combinatorics, Contemp. Math., 592, Amer. Math. Soc., Providence, RI, (2013) 225–239.
[22] M. A. Semenov-Tyan-Shanskii, What is a classical r-matrix? Funct. Anal. Appl., 17 (1983) 259–272.
[23] S. V. Skresanov, Rota–Baxter operators on compact simple Lie groups and algebras, arXiv:2506.14324.
)