# Centralizer construction for twisted Yangians

@article{Molev1997CentralizerCF,
title={Centralizer construction for twisted Yangians},
author={Alexander I. Molev and Grigori Olshanski},
journal={Selecta Mathematica},
year={1997},
volume={6},
pages={269-317}
}
• Published 22 December 1997
• Mathematics
• Selecta Mathematica
Abstract. For each of the classical Lie algebras ${\frak g}(n)={\frak o}(2n+1)$, ${\frak {sp}(2n),{\frak o}(2n)}$ of type B, C, D we consider the centralizer of the subalgebra ${\frak o}(2n-2m)$ or ${\frak {sp}}(2n-2m)$, respectively, in the universal enveloping algebra $\text{\rm U}({\frak g}(n))$. We show that the nth centralizer algebra can be naturally projected onto the (n-1)th one, so that one can form the projective limit of the centralizer algebras as $n\to\infty$ with m…

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