# 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} }

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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