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

Regelskis, V (2012) Reflection algebras for sl(2) and gl(1|1)

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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.

Item Type: Article
Divisions : Surrey research (other units)
Authors :
Date : 27 June 2012
Uncontrolled Keywords : math-ph, math-ph, math.MP, math.QA
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:47
Last Modified : 24 Jan 2020 22:50

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