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Drinfeld J Presentation of Twisted Yangians
Symmetry, integrability and geometry: methods and applications, Tome 13 (2017) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: coideal; coisotropic subalgebra; deformation; Manin triple; twisted Yangians. 
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     author = {Samuel Belliard and Vidas Regelskis},
     title = {Drinfeld {J} {Presentation} of {Twisted} {Yangians}},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2017_13_a10/}
}
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Samuel Belliard; Vidas Regelskis. Drinfeld J Presentation of Twisted Yangians. Symmetry, integrability and geometry: methods and applications, Tome 13 (2017). http://geodesic.mathdoc.fr/item/SIGMA_2017_13_a10/

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