Twisted Yangians and Mickelsson Algebras II

Details Twisted Yangians and Mickelsson Algebras II Twisted Yangians and Mickelsson Algebras II

2008-01-03

arxiv.org/abs/0801.0519v3

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

Mathematics

Representation Theory

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Scientific paper

We introduce a skew analogue of the composition of the Cherednik and Drinfeld functors for twisted Yangians. Our definition is based on the skew Howe duality, and originates from the centralizer construction of twisted Yangians due to Olshanski. Using our functor, we establish a correspondence 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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