Drinfeld J presentation of twisted Yangians

Samuel Belliard, Vidas Regelskis

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


We present a quantization of a Lie coideal structure for twisted half-loop algebras of finite-dimensional simple complex Lie algebras. We obtain algebra closure relations of twisted Yangians in Drinfeld J presentation for all symmetric pairs of simple Lie algebras and for simple twisted even half-loop Lie algebras. We provide the explicit form of the closure relations for twisted Yangians in Drinfeld J presentation for the sl3 Lie algebra.

Original languageEnglish
Article number011
Number of pages35
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Publication statusPublished - 1 Mar 2017


  • Coideal
  • Coisotropic subalgebra
  • Deformation
  • Manin triple
  • Twisted Yangians


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