Mickelsson algebras and representations of Yangians

TY - JOUR

T1 - Mickelsson algebras and representations of Yangians

AU - Nazarov, Maxim L

AU - Khoroshkin, Sergey

PY - 2012/3

Y1 - 2012/3

N2 - We use the theory of reductive dual pairs due to Howe to obtain explicit realizations of irreducible representations of the Yangian of the general linear Lie algebra, and of the twisted Yangians corresponding to the symplectic and orthogonal Lie algebras.

AB - We use the theory of reductive dual pairs due to Howe to obtain explicit realizations of irreducible representations of the Yangian of the general linear Lie algebra, and of the twisted Yangians corresponding to the symplectic and orthogonal Lie algebras.

KW - Howe duality

KW - Cherednik functor

KW - Drinfeld functor

UR - http://www.scopus.com/inward/record.url?scp=82755176208&partnerID=8YFLogxK

U2 - 10.1090/S0002-9947-2011-05367-5

DO - 10.1090/S0002-9947-2011-05367-5

M3 - Article

SN - 0002-9947

VL - 364

SP - 1293

EP - 1367

JO - Transactions of the American mathematical society

JF - Transactions of the American mathematical society

IS - 3

ER -