In algebra, a chiral Lie algebra is a D-module on a curve with a certain structure of Lie algebra. It is related to an -algebra via the Riemann–Hilbert correspondence.

• Chiral algebra
• Chiral homology

• Francis, John; Gaitsgory, Dennis (2012). "Chiral Koszul duality". Sel. Math. New Series. 18 (1): 27–87. arXiv:1103.5803. doi:10.1007/s00029-011-0065-z.