Relative Rota-Baxter systems on Leibniz algebras

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참고문헌 (29)

1. C. Bai, "Splitting of operations, Manin products, and Rota-Baxter operators", Int. Math. Res. Not. IMRN, 2013(3), pp.485~524 (2013)[DOI]
2. D. Balavoine, "Deformations of algebras over a quadratic operad", Operads: Proceedings of Renaissance Conferences, pp.207~234 (1997), Amer. Math. Soc
3. G. Baxter, "An analytic problem whose solution follows from a simple algebraic identity", Pacific J. Math, 10, pp.731~742 (1960)
4. A. Bloh, "On a generalization of the concept of Lie algebra", Dokl. Akad. Nauk, 165, pp.471~473 (1965)
5. M. Bordemann, "Global integration of Leibniz algebras", J. Lie Theory, 27(2), pp.555~567 (2017)
6. T. Brzezinski, "Rota-Baxter systems, dendriform algebras and covariant bialgebras", J. Algebra, 460, pp.1~25 (2016)[DOI]
7. V. Chari, "A Guide to Quantum Groups" (1995), ambridge University Press
8. A. Connes, "Renormalization in quantum field theory and the Riemann-Hilbert problem. I. The Hopf algebra structure of graphs and the main theorem", Comm. Math. Phys, 210(1), pp.249~273 (2000)[DOI]
9. S. Covez, "The local integration of Leibniz algebras", Ann. Inst. Fourier(Grenoble), 63(1), pp.1~35 (2013)[DOI]
10. A. Das, "Deformations of associative Rota-Baxter operators", J. Algebra, 560, pp.144~180 (2020)[DOI]
11. A. Das, "Generalized Rota-Baxter systems, preprint", ~ (2020)
12. B. Dherin, "Deformation quantization of Leibniz algebras", Adv. Math, 270, pp.21~48 (2015)[DOI]
13. Y. Fregier, "Simultaneous deformations of algebras and morphisms via derived brackets", J. Pure Appl. Algebra, 219(12), pp.5344~5362 (2015)[DOI]
14. M. Gerstenhaber, "The cohomology structure of an associative ring", Ann. of Math, 78(2), pp.267~288 (1963)[DOI]
15. M. Gerstenhaber, "On the deformation of rings and algebras", Ann. of Math, 79(2), pp.59~103 (1964)[DOI]
16. L. Guo, "An introduction to Rota-Baxter algebra" (2012), International Press
17. A. Kotov, "and their higher gauge theories", Comm. Math. Phys, 376(1), pp.235~258 (2020)[DOI]
18. J.-L. Loday, "Une version non commutative des alg`ebres de Lie: les alg`ebres de Leibniz", Enseign. Math, 39(3-4), pp.269~293 (1993)
19. J.-L. Loday, "Dialgebras and related operads" (2001), Springer
20. J.-L. Loday, "Universal enveloping algebras of Leibniz algebras and(co)homology", Math. Ann, 296(1), pp.139~158 (1993)[DOI]
21. A. Nijenhuis, "Cohomology and deformations in graded Lie algebras", Bull. Amer. Math. Soc, 72, pp.1~29 (1966)[DOI]
22. A. Nijenhuis, "Commutative algebra cohomology and deformations of Lie and associative algebras", J. Algebra, 9, pp.42~53 (1968)[DOI]
23. F. Panaite, "Twisted algebras and Rota-Baxter type operators", J. Algebra Appl, 16(4), pp.18~ (2017)[DOI]
24. J. Pei, "Splitting of operads and Rota-Baxter operators on operads", Appl. Categ. Structures, 25(4), pp.505~538 (2017)[DOI]
25. M. A. Semenov-Tyan-Shanskiı, "What is a classical r-matrix?", Funct. Anal. Appl, 17, pp.259~272 (1983)
26. T. Strobl, "Enhanced Leibniz algebras : structure theorem and induced Lie 2-algebra", Comm. Math. Phys, 376(1), pp.51~79 (2020)[DOI]
27. R. Tang, "Deformations and their controlling cohomologies of O-operators", Comm. Math. Phys, 368(2), pp.665~700 (2019)[DOI]
28. R. Tang, "Leibniz bialgebras, relative Rota-Baxter operators and the classical Leibniz Yang-Baxter equation", J. Noncommutative Geom
29. R. Tang, "Deformations of relative Rota-Baxter operators on Leibniz algebras", Int. J. Geom. Methods Mod. Phys, 17(12), pp.21~ (2020)[DOI]

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