Reflection algebras for sl(2) and gl(1|1)

TY - UNPB

T1 - Reflection algebras for sl(2) and gl(1|1)

AU - Regelskis, Vidas

N1 - 31 page; v2: updated version

PY - 2012/6/27

Y1 - 2012/6/27

N2 - 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.

AB - 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.

M3 - Preprint

BT - Reflection algebras for sl(2) and gl(1|1)

ER -