In mathematics, a Lie-* algebra is a D-module with a Lie* bracket. They were introduced by Alexander Beilinson and Vladimir Drinfeld (Beilinson & Drinfeld (2004, section 2.5.3)), and are similar to the conformal algebras discussed by Kac (1998) and to vertex Lie algebras.

References

• Beilinson, Alexander; Drinfeld, Vladimir (2004), Chiral algebras, American Mathematical Society Colloquium Publications, vol. 51, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-3528-9, MR 2058353
• Kac, Victor (1998), Vertex algebras for beginners, University Lecture Series, vol. 10 (2nd ed.), Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-1396-6, MR 1651389