Twisted Yangians and Mickelsson Algebras. II

Nazarov, M.; Khoroshkin, S.

doi:10.1090/S1061-0022-09-01088-7

Twisted Yangians and Mickelsson Algebras. II
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by M. Nazarov and S. Khoroshkin
Translated by: the authors

St. Petersburg Math. J. 21 (2010), 111-161

DOI: https://doi.org/10.1090/S1061-0022-09-01088-7

Published electronically: November 5, 2009

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Abstract:

A skew analog for the composition of the Cherednik and Drinfeld functors is introduced for twisted Yangians. The definition is based on the skew Howe duality, and originates from the centralizer construction of twisted Yangians due to Olshanskiĭ. Via the new functor, a correspondence is established between intertwining operators on the tensor products of certain modules over twisted Yangians and the extremal cocycle on the hyperoctahedral group.

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