Drinfeld J Presentation of Twisted Yangians
نویسنده
چکیده
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.
منابع مشابه
Se p 20 09 Representations of twisted q - Yangians by Lucy Gow and
The twisted q-Yangians are coideal subalgebras of the quantum affine algebra associated with glN . We prove a classification theorem for finite-dimensional irreducible representations of the twisted q-Yangians associated with the symplectic Lie algebras sp2n. The representations are parameterized by their highest weights or by their Drinfeld polynomials. In the simplest case of sp2 we give an e...
متن کاملRepresentations of twisted q - Yangians by Lucy Gow and
The twisted q-Yangians are coideal subalgebras of the quantum affine algebra associated with glN . We prove a classification theorem for finite-dimensional irreducible representations of the twisted q-Yangians associated with the symplectic Lie algebras sp2n. The representations are parameterized by their highest weights or by their Drinfeld polynomials. In the simplest case of sp2 we give an e...
متن کامل2 7 Se p 20 09 Representations of twisted q - Yangians by Lucy Gow and
The twisted q-Yangians are coideal subalgebras of the quantum affine algebra associated with glN . We prove a classification theorem for finite-dimensional irreducible representations of the twisted q-Yangians associated with the symplectic Lie algebras sp2n. The representations are parameterized by their highest weights or by their Drinfeld polynomials. In the simplest case of sp2 we give an e...
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