Twisted Yangians and Mickelsson algebras I

TY - JOUR

T1 - Twisted Yangians and Mickelsson algebras I

AU - Khoroshkin, Sergey

AU - Nazarov, Maxim

PY - 2007/3

Y1 - 2007/3

N2 - 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.

AB - 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.

KW - Cherednik functor

KW - Drinfeld functor

KW - Howe duality

KW - REPRESENTATIONS

KW - DUALITY

U2 - 10.1007/s00029-007-0036-6

DO - 10.1007/s00029-007-0036-6

M3 - Article

SN - 1420-9020

VL - 13

SP - 69

EP - 136

JO - Selecta Mathematica, New Series

JF - Selecta Mathematica, New Series

IS - 1

ER -