Twisted Yangians and Mickelsson Algebras II
Representation Theory
2009-12-06 v3 Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.0801.0519,
title = {Twisted Yangians and Mickelsson Algebras II},
author = {Sergey Khoroshkin and Maxim Nazarov},
journal= {arXiv preprint arXiv:0801.0519},
year = {2009}
}
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