TY - JOUR
T1 - Twisted Yangians for symmetric pairs of types B, C, D
AU - Guay, Nicolas
AU - Regelskis, Vidas
N1 - © 2016, Springer-Verlag Berlin Heidelberg. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.
PY - 2016/4/12
Y1 - 2016/4/12
N2 - We study a class of quantized enveloping algebras, called twisted Yangians, associated with the symmetric pairs of types B, C, D in Cartan’s classification. These algebras can be regarded as coideal subalgebras of the Yangian for orthogonal or symplectic Lie algebras. They can also be presented as quotients of a reflection algebra by additional symmetry relations. We prove an analogue of the Poincaré–Birkoff–Witt Theorem, determine their centres and study also extended reflection algebras.
AB - We study a class of quantized enveloping algebras, called twisted Yangians, associated with the symmetric pairs of types B, C, D in Cartan’s classification. These algebras can be regarded as coideal subalgebras of the Yangian for orthogonal or symplectic Lie algebras. They can also be presented as quotients of a reflection algebra by additional symmetry relations. We prove an analogue of the Poincaré–Birkoff–Witt Theorem, determine their centres and study also extended reflection algebras.
UR - https://arxiv.org/abs/1407.5247
UR - http://www.scopus.com/inward/record.url?scp=84963664679&partnerID=8YFLogxK
U2 - 10.1007/s00209-016-1649-2
DO - 10.1007/s00209-016-1649-2
M3 - Article
SN - 0025-5874
VL - 284
SP - 131
EP - 166
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
IS - 1-2
ER -