University of Hertfordshire

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Drinfeld J presentation of twisted Yangians

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Original languageEnglish
Article number011
Number of pages35
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume13
DOIs
Publication statusPublished - 1 Mar 2017

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.

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