Twisted Yangians for symmetric pairs of types B, C, D
Quantum Algebra
2016-09-21 v5 Mathematical Physics
math.MP
Representation Theory
Abstract
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 extended 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 Poincare-Birkoff-Witt Theorem, determine their centres and study also extended reflection algebras.
Keywords
Cite
@article{arxiv.1407.5247,
title = {Twisted Yangians for symmetric pairs of types B, C, D},
author = {Nicolas Guay and Vidas Regelskis},
journal= {arXiv preprint arXiv:1407.5247},
year = {2016}
}
Comments
28 pages, final version. Accepted to Math. Z