Oper (mathematics)

In mathematics, an oper is a principal connection, or in more elementary terms a type of differential operator. They were first defined and used by Vladimir Drinfeld and Vladimir Sokolov[1] to study how the KdV equation and related integrable PDEs correspond to algebraic structures known as Kac–Moody algebras. Their modern formulation is due to Drinfeld and Alexander Beilinson.[2]

  1. ^ Drinfeld, Vladimir; Sokolov, Vladimir (1985). "Lie algebras and equations of Korteweg-de Vries type". Journal of Soviet Mathematics. 30 (2): 1975–2036. doi:10.1007/BF02105860. S2CID 125066120. Retrieved 10 October 2022.
  2. ^ Beilinson, Alexander; Drinfeld, Vladimir (2005). "Opers". arXiv:math/0501398.