Baxterized Solutions of Reflection Equation and Integrable Chain Models
arXiv:math-ph/0510078 · doi:10.1016/j.nuclphysb.2006.09.013
Abstract
Non-polynomial Baxterized solutions of reflection equations associated with affine Hecke and affine Birman-Murakami-Wenzl algebras are found. Relations to integrable spin chain models with nontrivial boundary conditions are discussed.
LaTeX, 18 pages, typos fixed, journal-ref added
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Cited by in corpus (15)
- A new fusion procedure for the Brauer algebra and evaluation homomorphisms
- Loop model with mixed boundary conditions, qKZ equation and alternating sign matrices
- On representations of cyclotomic Hecke algebras
- Factorised solutions of Temperley-Lieb KZ equations on a segment
- Bethe subalgebras in Hecke algebra and Gaudin models
- Induced representations and traces for chains of affine and cyclotomic Hecke algebras
- Markov traces on affine and cyclotomic Yokonuma-Hecke algebras
- On boundary fusion and functional relations in the Baxterized affine Hecke algebra
- Fusion Procedure for Cyclotomic Hecke Algebras
- Baxterisation of the fused Hecke algebra and R-matrices with gl(N)-symmetry
- Representations of A-type Hecke algebras
- Chain models on Hecke algebra for corner type representations
- Murphy elements from the double-row transfer matrix
- Functional equations for transfer-matrix operators in open Hecke chain models
- Junction type representations of the Temperley-Lieb algebra and associated symmetries