[1] G. Baxter, An analytic problem whose solution follows from a simple algebraic identity, Pacific J. Math., 10 (1960), 731–742.
[2] P. Cartier, On the structure of free Baxter algebras, Advances in Math., 9 (1972), 253–265.
[3] C. Chevalley and S. Eilenber, Cohomology theory of Lie groups and Lie algebras, Trans. Amer. Math. Soc., 63 (1948), 85–124.
[4] Taoufik Chtioui, Atef Hajjaji, Sami Mabrouk and Abdenacer Makhlouf, Cohomologies and deformations of O-operators on Lie triple systems, J. Math. Phys., 64 (2023).
[5] A. Connes and D. Kreimer, Renormalization in quantum field theory and the Riemann-Hilbert problem I. The Hopf algebra structure of graphs and the main theorem, Comm. Math. Phys., (1) 210 (2000), 249–273.
[6] A. Douady and M. Lazard, Espace fibr´es algebr`es de Lie et en groupes, Invent. Math., 1 (1966), 133–151.
[7] A. Das, Twisted Rota-Baxter operators and Reynolds operators on Lie algebras and NS-Lie algebras, J. Math. Phys., 62 (2021).
[8] A. Das, Deformations of associative Rota-Baxter operators, J. Algebra, 560 (2020), 144–180.
[9] I. Dorfman, Dirac Structures and Integrability of non-linear evolution equations, John Wiley Sons. Ltd., Chichester, 1993.
[10] S. Goswami and G. Mukherjee, Lie-Yamaguti Algebra Bundle, https://arxiv.org/abs/2309.05508.
[11] L. Guo and W. Keigher, Baxter algebras and shuffle products, Adv. Math., (1) 150 (2000), 117–149.
[12] D. K. Harrison, Commutative Algebras and Cohomology, Trans. Amer. Math. Soc., 104 (1962), 191–204.
[13] K. F´eriet and S. I. Pai, Introduction to the Statistical Theory of Turbulence. I, J. Soc. Indust. Appl. Math., (1) 2 (1954), 1–9.
[14] B. S. Kiranagi, Lie algebra bundles, Bull. Sci. Math., (2) 102 (1978), 57–62.
[15] B. Kupershmidt, W hat a classical r-matrix really is?, Journal of Nonlinear Mathematical Physics, (4) 6 (1999), 448–488.
[16] K. C. H. Mackenzie, General theory of Lie groupoids and Lie algebroids, London Mathematical Society Lecture Note Series, Cambridge, 2005.
[17] S. K. Mishra and A. Naolekar, O-operators on hom-Lie algebras, J. Math. Phys., 61 (2020).
[18] O. Reynolds, On the dynamical theory of incompressible viscous fluids and the determination of the criterion, Philos. Trans. Roy. Soc. A, 136 (1895), 123–164.
[19] G. C. Rota, Baxter algebras and combinatorial identities, I, II, Bull. Amer. Math. Soc., 75 (1969), 330–334.
[20] Y. Sheng and J. Zhao, Relative Rota-Baxter operators and symplectic structures on Lie-Yamaguti algebras, Communications in Algebra, 50 (2022).
[21] Y. Sheng, J. Zhao, and Y. Zhau, Nijenhuis operators, product structures and complex structures on Lie-Yamaguti algebras, Journal of Algebra and Its Applications, 20 (2021).
[22] T. Zhang and J. Li, Deformations and extensions of Lie-Yamaguti algebras, Linear and Multilinear Algebra, 63 (2015), 2212–2231.
[23] K. Uchino, Quantum analogy of Poisson geometry, related dendriform algebras and Rota-Baxter operators, Lett. Math. Phys., 85 (2008), 91–109.
[24] K. Yamaguti, On the Lie triple system and its generalization, J. Sci. Hiroshima Univ., 21 (1958), 155–160.
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