1. Quantum group symmetry of integrable models on the half line Talk presented at the Workshop on Integrable Theories, Solitons and Duality at IFT, Sao Paulo, 4 July 2002 Gustav W Delius Alan George Niall MacKay hep-th/0112023 and unpublished

4. Yang-Baxter equation = where =

5. Reflection equation where =

6. Drinfeld-Jimbo quantum groups

7. Boundary quantum groups

8. Properties required of boundary quantum group

10. Sine-Gordon model

11. Non-local charges [Bernard and LeClair, Comm.Math.Phys. 142 (1991) 99]

12. Quantum affine sl 2

13. Neumann boundary condition

14. Free field two-point functions

15. Perturbing operator

16. Boundary quantum group

17. General boundary condition

18. Boundary perturbation theory

19. Boundary quantum group

20. Affine Toda theory action

21. Non-local charges [Bernard and LeClair, Comm.Math.Phys. 142 (1991) 99]

22. Quantum affine algebra [Felder and LeClair, Int.J.Mod.Phys. A7 (1992) 239]

23. Boundary conditions

24. Non-local charges

25. Conventions

26. Boundary quantum groups

28. Reconstructing symmetry generators from reflection matrix

29. Reconstructing symmetry generators from reflection matrix

30. The a n (1) case

31. Reflection equation algebras