arXiv:math/0703651 Abstract

arXiv:math/0703651 [math.RT]Abstract References Reviews Resources

Twisted Yangians and Mickelsson Algebras I

Published 2007-03-22, updated 2009-12-06Version 4

We introduce an analogue of the composition of the Cherednik and Drinfeld functor for twisted Yangians. Our definition is based on the 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: Selecta Math. 13 (2007) 69-136, 14 (2009) 321

Categories: math.RT, math.QA

Subjects: 17B35, 81R50

Keywords: twisted yangians, mickelsson algebras, hyperoctahedral group, howe duality, drinfeld functor

Tags: journal article

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