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On \mathcal {A}_{n-1}^{(1)} , \mathcal {B}_{n}^{(1)} , \mathcal {C}_{n}^{(1)} , \mathcal {D}_{n}^{(1)} , \mathcal {A}_{2n}^{(2)} , \mathcal {A}_{2n-1}^{(2)} , and \mathcal {D}_{n+1}^{(2)} reflection K-matrices

FREE ARTICLE The 75th Anniversary of the Bethe Ansatz

R Malara and A Lima-Santos

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Part of The 75th Anniversary of the Bethe Ansatz

We present the classification of the most general regular solutions to the boundary Yang–Baxter equations for vertex models associated with non-exceptional affine Lie algebras. Reduced solutions found by applying a limit procedure to the general solutions are discussed. We also present the list of diagonal K-matrices. Special cases are considered separately.


Keywords

solvable lattice models

algebraic structures of integrable models

integrable spin chains (vertex models)

symmetries of integrable models

 

E-print Number: nlin/0412058

Cited: by |

Refers: to

PACS

02.10.Yn Matrix theory

02.10.Ud Linear algebra

02.60.Cb Numerical simulation; solution of equations

MSC

11C20 Matrices, determinants (See also 15A36)

17Bxx Lie algebras and Lie superalgebras (For Lie groups, see 22Exx)

Subjects

Mathematical physics

Computational physics

Dates

Issue 09 (September 2006)

Received 2 August 2006, accepted for publication 6 September 2006

Published 26 September 2006



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