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We describe the twisted Yangians Y ( g , h ) which arise as boundary remnants of Yangians Y ( g ) in 1 + 1D integrable field theories. We describe and extend our recent construction of the intertwiners of their representations (the rational boundary S - or ' K '-matrices) and perform a case-by-case analysis for all pairs ( g , h ), giving the h -decomposition of Y ( g , h )-representations where possible.
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N.J. MacKay (2002) studied this question.
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