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Twisted Yangians and Mickelsson algebras I

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JournalSelecta Mathematica, New Series
DatePublished - Mar 2007
Issue number1
Volume13
Number of pages67
Pages (from-to)69-136
Original languageEnglish

Abstract

We introduce an analogue of the composition of the Cherednik and Drinfeld functors 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.

    Research areas

  • Cherednik functor, Drinfeld functor, Howe duality, REPRESENTATIONS, DUALITY

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