Drinfeld J presentation of twisted Yangians

Samuel Belliard; Vidas Regelskis

doi:10.3842/SIGMA.2017.011

Drinfeld J presentation of twisted Yangians

Samuel Belliard
, Vidas Regelskis

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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 sl₃ Lie algebra.

Original language	English
Article number	011
Number of pages	35
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	13
DOIs	https://doi.org/10.3842/SIGMA.2017.011
Publication status	Published - 1 Mar 2017

Keywords

Coideal
Coisotropic subalgebra
Deformation
Manin triple
Twisted Yangians

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AU - Regelskis, Vidas

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AB - 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.

KW - Coideal

KW - Coisotropic subalgebra

KW - Deformation

KW - Manin triple

KW - Twisted Yangians

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DO - 10.3842/SIGMA.2017.011

M3 - Article

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JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

M1 - 011

ER -

Drinfeld J presentation of twisted Yangians

Abstract

Keywords

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