References
- Ademollo, M., Brink, L., D’Adda, A., D’Auria, R., Napolitano, E., Sciuto, S., Del Giudice, E., Di Vecchia, P., Ferrara, S., Gliozzi, F., Musto, R., Pettorino, A. (1976). Supersymmetric strings and colour confinement. Phys. Lett. B 62:105.
- Andrada, A., Salamon, S. (2005). Complex product structures on Lie algebras. Forum Math. 17(2):261–295.
- Bai, C. (2006). A further study on non-abelian phase spaces: Left-symmetric algebraic approach and related geometry. Rev. Math. Phys. 18(5):545–564.
- Burde, D. (2006). Left-symmetric algebras, or pre-Lie algebras in geometry and physics. Cent. Eur. J. Math. 4(3): 323–357 (electronic).
- Cayley, A. (1890). On the Theory of Analytic Forms Called Tree. Collected Mathematical Papers of Arthur Cayley, Vol. 3. Cambridge: Cambridge University Press, pp. 242–246.
- Chapoton, F. (2004). Classification of some simple graded pre-Lie algebras of growth one. Commun. Algebra 32(1):243–251.
- Chu, B. (1974). Symplectic homogeneous spaces. Trans. Am. Math. Soc. 197:145–159.
- Chen, H., Li, J. (2012). Left-symmetric algebra structures on the W-algebra W(2,2). Linear Algebra Appl. 437(7): 1821–1834.
- Chen, H., Li, J. (2014). Twisted Heisenberg-Virasoro type left-symmetric algebras. Sci. China Math. 57(3):469–476.
- Connes, A., Kreimer, D. (1998). Hopf algebras, renormalization and noncommutative geometry. Commun. Math. Phys. 199(1):203–242.
- Dardié, J., Médina, A. (1996). Algèbres de Lie kählériennes et double extension. J. Algebra 185(3):774–795.
- Dardié, J., Medina, A. (1996). Double extension symplectique d’un groupe de Lie symplectique. Adv. Math. 117(2):208–227.
- Diatta, A., Medina, A. (2004). Classical Yang-Baxter equation and left invariant affine geometry on Lie groups. Manuscripta Math. 114(4):477–486.
- Di Francesco, P., Mathieu, P., Sénéchal, D. (1997). Conformal Field Theory. New York: Springer-Verlag.
- Dzhumadil’daev, A., Löfwall, C. (2002). Tree, free right-symmetric algebras, free Novikov algebras and identities. Homotopy Homotopy Appl. 4:165–190.
- Etingof, P., Solovyov, A. (1999). Quantization of geometric classical r-matrices. Math. Res. Lett. 6(2):223–228.
- Golubchik, I. Z., Sokolov, V. V. (2000). Generalized operator Yang-Baxter equations, integrable ODEs and nonassociative algebras. J. Nonlinear Math. Phys. 7(2):184–197.
- Kac, V. G. (1997). Superconformal algebras and transitive groups actions on quadrics. Commun. Math. Phys. 186(1):233–252.
- Kac, V. G., Raina, A. K. (1987). Bombay Lectures on Highest Weight Representations of Infinite-dimensional Lie Algebras. Advanced Series Mathematical Physics, Vol. 2. Teaneck, NJ: World Science Publishing Co., Inc.
- Kac, V. G., van de Leur, J. W. (1988). On Classification of Superconformal Algebras. Strings, Vol. 88. Singapore: World Scientific Publishing.
- Kong, X., Bai, C. (2008). Left-symmetric superalgebraic structures on the super-Virasoro algebras. Pacific J. Math. 235(1):43–55.
- Kong, X., Chen, H., Bai, C. (2011). Classification of graded left-symmetric algebraic structures on Witt and Virasoro algebras. Int. J. Math. 22(2):201–222.
- Kupershmidt, B. A. (1994). Non-abelian phase spaces. J. Phys. A 27(8):2801–2809.
- Kupershmidt, B. A. (1999). On the nature of the Virasoro algebra. J. Nonlinear Math. Phys. 6(2):222–245.
- Kupershmidt, B. A. (1999). What a classical r-matrix really is. J. Nonlinear Math. Phys. 6(4):448–488.
- Lichnerowicz, A., Medina, A. (1988). On Lie groups with left-invariant symplectic or Kählerian structures. Lett. Math. Phys. 16(3):225–235.
- Liu, X., Guo, X., Bian, D. (2017). A note on the left-symmetric algebraic structures of the Witt algebra. Linear Multilinear Algebra 65(9):1793–1804.
- Osborn, J. M. (1994). Infinite-dimensional Novikov algebras of characteristic 0. J. Algebra 167(1):146–167.
- Tang, X., Bai, C. (2012). A class of non-graded left-symmetric algebraic structures on the Witt algebra. Math. Nachr. 285(7):922–935.