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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(11) and their Yangian limit for singlet (diagonal) and vector (nondiagonal) boundary conditions. We construct the corresponding quantum affine coideal subalgebras that are based on the quantum symmetric pairs, and the (generalized) twisted Yangians.
Original language  English 

Number of pages  31 
Publication status  Unpublished  27 Jun 2012 
Bibliographical note
31 page; v2: updated versionProjects
 1 Finished

Nonultralocality and new mathematical structures in quantum integrability
MacKay, N., Regelskis, V., Sklyanin, E., Torrielli, A., Vicedo, B. & Young, C.
1/10/09 → 31/03/13
Project: Research project (funded) › Research