Twisted Yangians and Mickelsson algebras II

TY - JOUR

T1 - Twisted Yangians and Mickelsson algebras II

AU - Nazarov, M.

AU - Khoroshkin, S.

PY - 2010/2

Y1 - 2010/2

N2 - A skew analog for the composition of the Cherednik and Drinfeld functors is introduced for twisted Yangians. The definition is based on the skew Howe duality, and originates from the centralizer construction of twisted Yangians due to Olshanskii. Via the new functor, a correspondence is established between intertwining operators on the tensor products of certain modules over twisted Yangians and the extremal cocycle on the hyperoctahedral group.

AB - A skew analog for the composition of the Cherednik and Drinfeld functors is introduced for twisted Yangians. The definition is based on the skew Howe duality, and originates from the centralizer construction of twisted Yangians due to Olshanskii. Via the new functor, a correspondence is established 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 - EQUATIONS

KW - DUALITY

UR - http://www.scopus.com/inward/record.url?scp=82755194636&partnerID=8YFLogxK

U2 - 10.1090/S1061-0022-09-01088-7

DO - 10.1090/S1061-0022-09-01088-7

M3 - Article

SN - 1061-0022

VL - 21

SP - 111

EP - 161

JO - St petersburg mathematical journal

JF - St petersburg mathematical journal

IS - 1

ER -