Reflection algebras for sl(2) and gl(1|1)
Mathematical Physics
2013-02-06 v2 math.MP
Quantum Algebra
Abstract
We present a generalization the G. Letzter's theory of quantum symmetric pairs of semisimple Lie algebras for the case of quantum affine algebras. We then study solutions of the reflection equation for the quantum affine algebras sl(2) and gl(1|1) and their Yangian limit for singlet (diagonal) and vector (non-diagonal) boundary conditions. We construct the corresponding quantum affine coideal subalgebras that are based on the quantum symmetric pairs, and the (generalized) twisted Yangians.
Cite
@article{arxiv.1206.6498,
title = {Reflection algebras for sl(2) and gl(1|1)},
author = {Vidas Regelskis},
journal= {arXiv preprint arXiv:1206.6498},
year = {2013}
}
Comments
31 page; v2: updated version