Sergey Khoroshkin, Maxim Nazarov
Published 2008-01-03, updated 2009-12-06Version 3
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.
Comments: final version
Journal: St. Petersburg Math. J. 21 (2010), 111-161
Twisted Yangians and Mickelsson Algebras I
Representations of twisted Yangians of types B, C, D: II
Mickelsson algebras and representations of Yangians
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