Drinfeld J Presentation of Twisted Yangians

Abstract

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 ${\mathfrak{sl}}_3$ Lie algebra.

References in corpus (6)

• Yangian symmetry of the Y=0 maximal giant graviton
• Representations of twisted Yangians of types B, C, D: I
• Twisted Yangians of small rank
• Representations of twisted Yangians of types B, C, D: II
• Reflection algebras for sl(2) and gl(1|1)
• Quantization of coisotropic subalgebras in complex semisimple Lie Algebras

Cited by in corpus (5)

• Equivalences between three presentations of orthogonal and symplectic Yangians
• Integrable systems from the classical reflection equation
• Twisted Yangians of small rank
• How to fold a spin chain: Integrable boundaries of the Heisenberg XXX and Inozemtsev hyperbolic models
• Twisted Affine Yangian and Rectangular $W$-algebra of type $D$